{"id":11,"date":"2017-08-21T17:38:06","date_gmt":"2017-08-21T20:38:06","guid":{"rendered":"http:\/\/www.professores.uff.br\/msouza\/?page_id=11"},"modified":"2019-11-25T01:04:09","modified_gmt":"2019-11-25T04:04:09","slug":"publications","status":"publish","type":"page","link":"https:\/\/www.professores.uff.br\/msouza\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"<h3>Refereed publications in journals and proceedings<\/h3>\n<h4>2016\u2013<\/h4>\n<ol reversed=\"\" start=\"36\">\n<li>Stability and estimation problems related to a stage-structured epidemic model.&nbsp;<em>Math. Biosci. Eng. 16(5):4415-4432&nbsp;<\/em>(2019, with M. L. Diouf &amp; A. Iggidr)<\/li>\n<li>State Estimators for some epidemiological systems.&nbsp;<em>J. Math. Biol.<\/em> 78(1-2):225\u2013256&nbsp;(2019, with A. Iggidr) &nbsp; <a href=\"https:\/\/hal.inria.fr\/hal-01672659\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/logo_hal_inria.png\" alt=\"\" width=\"25\" height=\"25\" border=\"0\"> &nbsp; <\/a><a href=\"https:\/\/doi.org\/10.1007\/s00285-018-1273-3\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/online2.png\" alt=\"\" width=\"25\" height=\"25\"><\/a><\/li>\n<li>From fixation probabilities to d-player games: an inverse problem in evolutionary dynamics.&nbsp;<strong><span style=\"color: #00ff00\">Accepted<\/span><\/strong> in <em>Bull. Math. Biol.&nbsp;<\/em>(2018, with F.A.C.C. Chalub)<\/li>\n<li>Fitness potentials and qualitative properties of the Wright-Fisher dynamics.&nbsp;<em>J. Theor. Biol.<\/em> 457:57\u201365&nbsp;(2018, with F.A.C.C. Chalub) &nbsp; <a href=\"http:\/\/arxiv.org\/abs\/1808.07429\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/arxiv_logo3-1.png\" alt=\"\" width=\"48\" height=\"20\"><\/a> &nbsp; <a href=\"https:\/\/doi.org\/10.1016\/j.jtbi.2018.08.021\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/online2.png\" alt=\"\" width=\"25\" height=\"25\"><\/a><\/li>\n<li>Conservative parabolic problems: non-degenerated theory and degeneretaded examples from population dynamics.<br \/>\n<em>Math. Methods Appl. Sci.<\/em> 41(12):4391\u20134406&nbsp;(2018, with O. Danilkina &amp; F.A.C.C. Chalub) &nbsp; <a href=\"http:\/\/arxiv.org\/abs\/1410.0051\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/arxiv_logo3-1.png\" alt=\"\" width=\"48\" height=\"20\"><\/a><a href=\"https:\/\/doi.org\/10.1002\/mma.4901\">&nbsp; &nbsp;<img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/online2.png\" alt=\"\" width=\"25\" height=\"25\"><\/a><\/li>\n<li>On the stochastic evolution of finite populations.&nbsp;<em>J. Math. Biol.<\/em> 75(6-7):1735\u20131774&nbsp;(2017, with F.A.C.C.&nbsp;Chalub) &nbsp; <a href=\"http:\/\/arxiv.org\/abs\/1602.00478\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/arxiv_logo3-1.png\" alt=\"\" width=\"48\" height=\"20\"> &nbsp; <\/a><a href=\"http:\/\/dx.doi.org\/10.1007\/s00285-017-1135-4\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/online2.png\" alt=\"\" width=\"25\" height=\"25\"><\/a><\/li>\n<li>Vector borne diseases on an urban environment: the effects of heterogeneity and human circulation.&nbsp;<em>Ecol. Complex.<\/em> 30:76\u201390&nbsp;(2017, with A. Iggidr, J. Koiller, M.L.F. Penna, G. Sallet &amp; M.A. Silva )&nbsp; &nbsp;<a href=\"http:\/\/dx.doi.org\/10.1016\/j.ecocom.2016.12.006\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/online2.png\" alt=\"\" width=\"25\" height=\"25\"><\/a><\/li>\n<li>On the dynamics of a class of multi-group models for vector-borne diseases.&nbsp;<em>J. Math. Anal. Appl.<\/em> 441(2):723\u2013743&nbsp;(2016, with A.&nbsp;Iggidr &amp; G.&nbsp;Sallet) &nbsp;&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/1409.1470\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/arxiv_logo3-1.png\" alt=\"\" width=\"48\" height=\"20\"> &nbsp; <\/a><a href=\"http:\/\/dx.doi.org\/10.1016\/j.jmaa.2016.04.003\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/online2.png\" alt=\"\" width=\"25\" height=\"25\"><\/a><\/li>\n<li>Fixation in large populations: a continuous view of a discrete problem.&nbsp;<em>J. Math. Biol.<\/em> 72(1-2):283&#8211;330&nbsp;( 2016, with F.A.C.C.&nbsp;Chalub) &nbsp; <a href=\"http:\/\/arxiv.org\/abs\/1408.6501\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/arxiv_logo3-1.png\" alt=\"\" width=\"48\" height=\"20\"> &nbsp; <\/a><a href=\"http:\/\/dx.doi.org\/10.1007\/s00285-015-0889-9\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/online2.png\" alt=\"\" width=\"25\" height=\"25\"><\/a><\/li>\n<\/ol>\n<h4>2011\u20132015<\/h4>\n<ol reversed=\"\" start=\"27\">\n<li>A Hedged Monte Carlo Approach to Real Option Pricing.&nbsp;<em>Fields Inst. Commun.<\/em> 74:275&#8211;299&nbsp;(2015, with E.&nbsp;Brigatti, F.&nbsp;Macias &amp; J.P.&nbsp;Zubelli)<a href=\"http:\/\/dx.doi.org\/10.1007\/978-1-4939-2733-3_10\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/online2.png\" alt=\"\" width=\"25\" height=\"25\"><\/a><\/li>\n<li>Costly inheritance and the persistence of insecticide resistance in Aedes aegypti populations.&nbsp;<em>PLoS One<\/em> 10(5):e0123961&nbsp;(2015, with H. Schechtman) &nbsp; <a href=\"http:\/\/dx.doi.org\/10.1371\/journal.pone.0123961\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/online2.png\" alt=\"\" width=\"25\" height=\"25\"><\/a><\/li>\n<li>Robustness of Cucker-Smale flocking model.&nbsp;<em>IET Control Theory &amp; Appl.<\/em> 9(3):346\u2013350&nbsp;(2015, with E.&nbsp;Canale, F.&nbsp;Dalmao &amp; E.&nbsp;Mordecki) &nbsp; <a href=\"http:\/\/arxiv.org\/abs\/1405.0317\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/arxiv_logo3-1.png\" alt=\"\" width=\"48\" height=\"20\"> &nbsp; <\/a><a href=\"http:\/\/dx.doi.org\/10.1049\/iet-cta.2014.0496\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/online2.png\" alt=\"\" width=\"25\" height=\"25\"><\/a><\/li>\n<li>Discrete and continuous SIS epidemic models: a unifying approach.&nbsp;<em>Ecol. Complex.<\/em> 18:83\u201395&nbsp;(2014, with F.A.C.C.&nbsp;Chalub)<a href=\"http:\/\/dx.doi.org\/10.1016\/j.ecocom.2014.01.006\">&nbsp; &nbsp;<img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/online2.png\" alt=\"\" width=\"25\" height=\"25\"><\/a><\/li>\n<li>Multiscale analysis for a vector-borne epidemic model.&nbsp;<em>J. Math. Biol.<\/em> 68(5):1269\u20131293&nbsp;(2014)<a href=\"http:\/\/arxiv.org\/abs\/1108.1999\">&nbsp; &nbsp;<img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/arxiv_logo3-1.png\" alt=\"\" width=\"48\" height=\"20\"> &nbsp; <\/a><a href=\"http:\/\/dx.doi.org\/10.1007\/s00285-013-0666-6\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/online2.png\" alt=\"\" width=\"25\" height=\"25\"><\/a><\/li>\n<li>The frequency-dependent Wright-Fisher model: diffusive and non-diffusive approximations.&nbsp;<em>J. Math. Biol.<\/em> 68(5):1089\u20131133&nbsp;(2014, with F.A.C.C.&nbsp;Chalub) &nbsp; <a href=\"http:\/\/arxiv.org\/abs\/1107.1549\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/arxiv_logo3-1.png\" alt=\"\" width=\"48\" height=\"20\"> &nbsp; <\/a><a href=\"http:\/\/dx.doi.org\/10.1007\/s00285-013-0657-7\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/online2.png\" width=\"25\" height=\"25\"><\/a><\/li>\n<li>Time-scale separation and center manifold analysis describing vector-borne disease dynamics.&nbsp;<em>Int. J. Comp. Math.<\/em> 90(10):2105\u20132125&nbsp;(2013, with F.&nbsp;Rocha, M.&nbsp;Aguiar &amp; N.&nbsp;Stollenwerk) &nbsp;&nbsp;<a href=\"http:\/\/dx.doi.org\/10.1080\/00207160.2013.783208\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/online2.png\" alt=\"\" width=\"25\" height=\"25\"><\/a><\/li>\n<li>Real Option pricing with mean-reverting investment and project value.&nbsp;<em>Eur. J. Financ.<\/em> 19(7-8):624\u2013644&nbsp;(2013, with S.&nbsp;Jaimungal &amp; J.P.&nbsp;Zubelli) &nbsp;&nbsp;<a href=\"http:\/\/papers.ssrn.com\/sol3\/papers.cfm?abstract_id=1693562\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/logo_social.jpg\" alt=\"\" width=\"60\" height=\"22\"> &nbsp; <\/a><a href=\"http:\/\/dx.doi.org\/10.1080\/1351847X.2011.601660\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/online2.png\" alt=\"\" width=\"25\" height=\"25\"><\/a><\/li>\n<li>A derivation of Holling&#8217;s type I, II and III functional responses in predator-prey systems.&nbsp;<em>J. Theor. Biol.<\/em> 327:11\u201322&nbsp;(2013, with J.H.P.&nbsp;Dawes) &nbsp;&nbsp;<a href=\"http:\/\/dx.doi.org\/10.1016\/j.jtbi.2013.02.017\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/online2.png\" alt=\"\" width=\"25\" height=\"25\"><\/a><\/li>\n<li>Understanding the effect of vector dynamics in epidemic models using center manifold analysis.&nbsp;<em>AIP Conf. Proc.<\/em> 1479:1319&nbsp;(2012, with F.&nbsp;Rocha, M.&nbsp;Aguiar &amp; N.&nbsp;Stollenwerk) &nbsp;&nbsp;<a href=\"http:\/\/dx.doi.org\/10.1063\/1.4756398\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/online2.png\" alt=\"\" width=\"25\" height=\"25\"><\/a><\/li>\n<li>Global stability for a class of virus models with Cytotoxic T Lymphocyte immune response and antigenic variation.&nbsp;<em>Bull. Math. Biol.<\/em> 73:609\u2013625&nbsp;(2011, with J.P.&nbsp;Zubelli)<a href=\"http:\/\/arxiv.org\/abs\/0810.4364\">&nbsp; &nbsp;<img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/arxiv_logo3-1.png\" alt=\"\" width=\"48\" height=\"20\"> &nbsp; <\/a><a href=\"http:\/\/dx.doi.org\/10.1007\/s11538-010-9543-2\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/online2.png\" alt=\"\" width=\"25\" height=\"25\"><\/a><\/li>\n<li>Evolutionary dynamics of collective action.&nbsp;In&nbsp;<i>The Mathematics of Darwin&#8217;s Legacy<\/i>, J.F.&nbsp;Rodrigues &amp; F.A.C.C.&nbsp;Chalub eds, Springer-Basel.<br \/>\n(2011, with J.M.&nbsp;Pacheco, F.C.&nbsp;Santos &amp; B. Skyrms). &nbsp; <a href=\"http:\/\/dx.doi.org\/10.1007\/978-3-0348-0122-5_7\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/online2.png\" alt=\"\" width=\"25\" height=\"25\"><\/a><\/li>\n<li>Continuous models for genetic evolution in large populations.&nbsp;In&nbsp;<i>Dynamics, Games and Science I<\/i>, M.M.&nbsp;Peixoto, A.A.&nbsp;Pinto, D.A.&nbsp;Rand eds, Springer-Verlag.&nbsp;(2011, with F.A.C.C.&nbsp;Chalub).<a href=\"http:\/\/dx.doi.org\/10.1007\/978-3-642-11456-4_15\">&nbsp; &nbsp;<img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/online2.png\" alt=\"\" width=\"25\" height=\"25\"><\/a><\/li>\n<li>Strategic investment decisions under fast mean-reversion stochastic volatility.&nbsp;<em>Appl. Stoch. Models Bus. Ind.<\/em> 27(1):61\u201369&nbsp;(2011, with J.P.&nbsp;Zubelli) &nbsp;&nbsp;<a href=\"http:\/\/dx.doi.org\/10.1002\/asmb.833\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/online2.png\" alt=\"\" width=\"25\" height=\"25\"><\/a><\/li>\n<li>The SIR epidemic model from a PDE point of view.&nbsp;<em>Math. Comp. Modelling<\/em> 53(7-8):1568\u20131574&nbsp;(2011, with F.A.C.C.&nbsp;Chalub)<a href=\"http:\/\/arxiv.org\/abs\/0912.3225\">&nbsp; &nbsp;<img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/arxiv_logo3-1.png\" alt=\"\" width=\"48\" height=\"20\"> &nbsp; <\/a><a href=\"http:\/\/dx.doi.org\/10.1016\/j.mcm.2010.05.036\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/online2.png\" alt=\"\" width=\"25\" height=\"25\"><\/a><\/li>\n<\/ol>\n<h4>2006\u20132010<\/h4>\n<ol reversed=\"\" start=\"12\">\n<li>From discrete to continuous evolution models: a unifying approach to drift-diffusion and replicator dynamics.&nbsp;<em>Theor. Pop. Biol.<\/em> 76(4):268\u2013277&nbsp;(2009, with F.A.C.C.&nbsp;Chalub)<a href=\"http:\/\/arxiv.org\/abs\/0811.0203\">&nbsp; &nbsp;<img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/arxiv_logo3-1.png\" alt=\"\" width=\"48\" height=\"20\"> &nbsp; <\/a><a href=\"http:\/\/dx.doi.org\/10.1016\/j.tpb.2009.08.006\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/online2.png\" alt=\"\" width=\"25\" height=\"25\"><\/a><\/li>\n<li>Evolution of cooperation under N-person snowdrift games.&nbsp;<em>J. Theor. Biol.<\/em> 260(4):581\u2013588&nbsp;(2009, with J.M.&nbsp;Pacheco &amp; F.C.&nbsp;Santos)<a href=\"http:\/\/dx.doi.org\/10.1016\/j.jtbi.2009.07.010\">&nbsp; &nbsp;<img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/online2.png\" alt=\"\" width=\"25\" height=\"25\"><\/a><\/li>\n<li>A non-standard evolution problem arising in population genetics.&nbsp;<em>Commun. Math. Sci.<\/em> 7(2):489\u2013502 (2009, with F.A.C.C.&nbsp;Chalub)<a href=\"http:\/\/arxiv.org\/abs\/0801.1335\">&nbsp; &nbsp;<img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/arxiv_logo3-1.png\" alt=\"\" width=\"48\" height=\"20\"> &nbsp; <\/a><a href=\"http:\/\/www.intlpress.com\/CMS\/p\/2009\/issue7-2\/CMS-2-2-A11-chalub.pdf\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/online2.png\" alt=\"\" width=\"25\" height=\"25\"><\/a><\/li>\n<li>Evolutionary dynamics of collective action in N-person Stag-Hunt Dilemmas.&nbsp;<em>Proc. R. Soc. B <\/em> 276(1655):315\u2013321&nbsp;(2009, with J.M.&nbsp;Pacheco, F.C.&nbsp;Santos &amp; B. Skyrms) &nbsp;&nbsp;<a href=\"http:\/\/dx.doi.org\/10.1098\/rspb.2008.1126\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/online2.png\" alt=\"\" width=\"25\" height=\"25\"><\/a><\/li>\n<li>Investment Deferment under Fast Mean Reversion Stochastic Volatility.&nbsp;In&nbsp;<i>Proceedings of the Fourth Brazilian Conference on Statistical Modelling in Insurance and Finance.&nbsp;<\/i>(2009, with J.P.&nbsp;Zubelli).<\/li>\n<li>Discrete <em>versus<\/em> continuous models in evolutionary dynamics: from simple to simpler\u2014and even simpler\u2014models.&nbsp;<em>Math. Comp. Modelling<\/em> 47(7-8):743\u2013754&nbsp;(2008, with F.A.C.C.&nbsp;Chalub) &nbsp;&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/math.AP\/0608041\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/arxiv_logo3-1.png\" alt=\"\" width=\"48\" height=\"20\"> &nbsp; <\/a><a href=\"http:\/\/dx.doi.org\/10.1016\/j.mcm.2007.06.009\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/online2.png\" alt=\"\" width=\"25\" height=\"25\"><\/a><\/li>\n<li>Inverse problems and regularization techniques in option pricing.<br \/>\n<em>Proc. Appl. Math. Mech.<\/em> 7(1):1042403\u20131042404 (2007, with J.P.&nbsp;Zubelli)<a href=\"files\/SouzaZubelli09.pdf\">&nbsp; &nbsp;<img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/tpdficon.gif\" alt=\"\" width=\"27\" height=\"27\"> &nbsp; <\/a><a href=\"http:\/\/dx.doi.org\/10.1002\/pamm.200701113\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"icons\/online2.png\" alt=\"\" width=\"25\" height=\"25\"><\/a><\/li>\n<li>On the asymptotics of fast mean-reversion stochastic volatility models.<br \/>\n<em>Int. J. Theor. Appl. Financ.<\/em> 10(5):817\u2013835&nbsp;(2007, with J.P.&nbsp;Zubelli)<a href=\"files\/SouzaZubelli.pdf\">&nbsp; &nbsp;<img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/tpdficon.gif\" alt=\"\" width=\"27\" height=\"27\"> &nbsp; <\/a><a href=\"http:\/\/dx.doi.org\/10.1142\/S0219024907004445\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/online2.png\" alt=\"\" width=\"25\" height=\"25\"><\/a><\/li>\n<li>Multiple scale asymptotics of fast mean reversion stochastic volatility models.&nbsp;In&nbsp;<em>Proceedings of the Third Brazilian Conference on Statistical Modelling in Insurance and Finance&nbsp;<\/em>(2007, with J.P.&nbsp;Zubelli).<\/li>\n<\/ol>\n<h4>1998\u20132005<\/h4>\n<ol reversed=\"\">\n<li>Asymptotic behavior of stochastic volatility models.&nbsp;In&nbsp;<em>Proceedings of the Second Brazilian Conference on Statistical Modelling in Insurance and Finance&nbsp;<\/em>(2005, with J.P.&nbsp;Zubelli).<\/li>\n<li>On the equation satisfied by a steady Prandtl-Munk vortex sheet.<br \/>\n<em>Commun. Math. Sci.<\/em> 1(1):68\u201373&nbsp;(2003, with M.C.&nbsp;Lopes&nbsp;Filho &amp; H.J.&nbsp;Nussenzveig&nbsp;Lopes) &nbsp;&nbsp;<a href=\"files\/LopesSouza.pdf\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/tpdficon.gif\" alt=\"\" width=\"27\" height=\"27\"> &nbsp; <\/a><a href=\"http:\/\/www.intlpress.com\/CMS\/journal\/v1i1\/filho.pdf\" target=\"_bank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/online2.png\" alt=\"\" width=\"25\" height=\"25\"><\/a><\/li>\n<li>Projeto \u00f3timo de gr\u00e1ficos de&nbsp;m\u00e9dias ponderadas exponencialmente (EWMA) para controle estat\u00edstico de&nbsp;processo.&nbsp;<em>Pesq. Oper.<\/em> 18(2):109\u2013130&nbsp;(1998, with E.K.&nbsp;Epprecht e A.L.&nbsp;Ninio)<\/li>\n<\/ol>\n<h3>Other publications<\/h3>\n<ol reversed=\"\">\n<li>Aedes, Wolbachia and Dengue.&nbsp;(2014, with M.&nbsp;Alvim, C.&nbsp;Code\u00e7o, A.&nbsp;Iggidr, J.&nbsp;Koiller &amp; G.&nbsp;Sallet) &nbsp;&nbsp;<a href=\"http:\/\/hal.inria.fr\/hal-00939411\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/logo_hal_inria.png\" alt=\"\" width=\"25\" height=\"25\"><\/a><\/li>\n<li>Analysis of the dynamics of a class of models for vector-borne diseases with host circulation.&nbsp;(2013, with A.&nbsp;Iggidr &amp; G.&nbsp;Sallet)<a href=\"http:\/\/hal.inria.fr\/hal-00905926\">&nbsp; &nbsp;<img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/logo_hal_inria.png\" alt=\"\" width=\"25\" height=\"25\"><\/a><\/li>\n<li>Onset of a vector borne disease due to human circulation\u2014uniform, local and network reproduction ratios.&nbsp;(2013, with M.&nbsp;Alvim, A.&nbsp;Iggidr, J.&nbsp;Koiller, M.L.F.&nbsp;Penna &amp; G.&nbsp;Sallet) &nbsp;&nbsp;<a href=\"http:\/\/hal.inria.fr\/hal-00839351\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/logo_hal_inria.png\" alt=\"\" width=\"25\" height=\"25\"><\/a><\/li>\n<li>Evolutionary dynamics of collective action.&nbsp;In&nbsp;<em>Advances in Artificial Life<\/em>, MIT Press.&nbsp;(2011, with J.M.&nbsp;Pacheco, F.C.&nbsp;Santos &amp; B. Skyrms) &nbsp;&nbsp;<a href=\"http:\/\/mitpress.mit.edu\/books\/advances-artificial-life-ecal-2011\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/online2.png\" alt=\"\" width=\"25\" height=\"25\"><\/a><\/li>\n<li>Evaluation of optional cancellation contracts.&nbsp;<i>Real Options: 14th annual conference<\/i>.&nbsp;(2010, with L.E.&nbsp;Muller &amp; J.P.&nbsp;Zubelli).<a href=\"http:\/\/www.realoptions.org\/papers2010\/240.pdf\">&nbsp; &nbsp;<img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/online2.png\" alt=\"\" width=\"25\" height=\"25\"><\/a><\/li>\n<li>Real Option Pricing with Mean-Reverting Investment and Project Value.&nbsp;<i>Real Options: 13th annual conference<\/i>.&nbsp;(2009, with S.&nbsp;Jaimungal &amp; J.P.&nbsp;Zubelli) &nbsp;&nbsp;<a href=\"http:\/\/www.realoptions.org\/papers2009\/26.pdf\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/online2.png\" alt=\"\" width=\"25\" height=\"25\"><\/a><\/li>\n<li>Investment deferment under fast mean reversion stochastic volatility.<br \/>\n<i>Real Options: 12th annual conference<\/i>&nbsp;(2008, with J.P.&nbsp;Zubelli).<a href=\"http:\/\/www.realoptions.org\/papers2008\/papers_2008.html\">&nbsp; &nbsp;<img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/online2.png\" alt=\"\" width=\"25\" height=\"25\"><\/a><\/li>\n<li>The continuous limit of the Moran process and the diffusion of mutant genes in infinite populations. (2006, with F.A.C.C.&nbsp; Chalub) &nbsp;&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/math\/0602530\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/arxiv_logo3-1.png\" alt=\"\" width=\"48\" height=\"20\"><\/a><\/li>\n<\/ol>\n<h3>Submitted or in preparation<\/h3>\n<ol reversed=\"\">\n<li>Assessing Volatility and Model Risks in Optimal Execution.&nbsp;<font color=\"#FFB200\">Submitted&nbsp;<\/font>(with Y. Thamsten)<\/li>\n<li>From resistance to persistance: insights of a mathematical model on the indscriminate use of insecticide.&nbsp;<span style=\"color: #ffb200\">Submitted&nbsp;<\/span>(with H. Schechtman &amp; D. Valle).<\/li>\n<li>Gradient flow formulations of discrete and continuous evolutionary models: a unifying perspective.&nbsp;<span style=\"color: #ffb200\">Submitted&nbsp;<\/span>(with F.A.C.C. Chalub, L. Monsaingeon &amp; A.M. Ribeiro).<\/li>\n<li>On incipient vortex breakdown.&nbsp;<span style=\"color: #ffb200\">Submitted&nbsp;<\/span>(with S.J.&nbsp;Cowley). &nbsp;&nbsp;<a href=\"files\/SouzaCowley.pdf\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: middle\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/tpdficon.gif\" alt=\"\" width=\"27\" height=\"27\"><\/a><\/li>\n<li>Multiscale modeling in evolutionary dynamics.&nbsp;<span style=\"color: red\">In preparation&nbsp;<\/span>(with F.A.C.C.&nbsp;Chalub).<\/li>\n<li>Spiral-type vortex breakdown on a trailing vortex: a weakly nonlinear marginal instability?&nbsp;<span style=\"color: red\">In preparation&nbsp;<\/span>(with S.J.&nbsp;Cowley).<\/li>\n<li>Selective signal smoothing.&nbsp;<span style=\"color: red\">In preparation&nbsp;<\/span>(with J.B. Limaco &amp; R. Teixeira)<\/li>\n<li>Quasi-Cylindrical flows.&nbsp;<span style=\"color: red\">In preparation<\/span>.<\/li>\n<li>Portfolio selection with random transaction costs.&nbsp;<span style=\"color: red\">In preparation&nbsp;<\/span>(with M.&nbsp;Nazareth).<\/li>\n<\/ol>\n<p><!--\n    Color Code\n\n    accepted #00FF00\n    submitted #FFB200\n    in preparation red\n --><\/p>\n<hr>\n<h3>Download Key<\/h3>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" title=\"align=&quot;middle&quot;\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/arxiv_logo3-1.png\" alt=\"\" width=\"48\" height=\"20\" align=\"middle\" border=\"0\">&nbsp;&nbsp;Link to ArXiv &nbsp; &nbsp;&nbsp;<img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" title=\"align=&quot;middle&quot;\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/logo_social.jpg\" alt=\"\" width=\"60\" height=\"22\" align=\"middle\" border=\"0\">&nbsp;Link to SSRN &nbsp; &nbsp;&nbsp;<img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/logo_hal_inria.png\" alt=\"\" width=\"36\" height=\"36\" align=\"middle\" border=\"0\">&nbsp;Link to HAL &nbsp; &nbsp;&nbsp;<img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/tpdficon.gif\" alt=\"\" width=\"32\" height=\"32\" align=\"middle\" border=\"0\">&nbsp;PDF file &nbsp; &nbsp;&nbsp;&nbsp;<img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/www.professores.uff.br\/msouza\/wp-content\/uploads\/sites\/96\/2017\/08\/online2.png\" alt=\"\" width=\"32\" height=\"32\" align=\"middle\" border=\"0\">&nbsp;Link to online version<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Refereed publications in journals and proceedings 2016\u2013 Stability and estimation problems related to a stage-structured epidemic model.&nbsp;Math. Biosci. Eng. 16(5):4415-4432&nbsp;(2019, with M. L. Diouf &amp; A. Iggidr) State Estimators for some epidemiological systems.&nbsp;J. Math. Biol. 78(1-2):225\u2013256&nbsp;(2019, with A. Iggidr) &nbsp; &nbsp; From fixation probabilities to d-player games: an inverse problem in evolutionary dynamics.&nbsp;Accepted in Bull. [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_exactmetrics_skip_tracking":false,"_exactmetrics_sitenote_active":false,"_exactmetrics_sitenote_note":"","_exactmetrics_sitenote_category":0,"footnotes":""},"categories":[],"tags":[],"class_list":["post-11","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.professores.uff.br\/msouza\/wp-json\/wp\/v2\/pages\/11","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.professores.uff.br\/msouza\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.professores.uff.br\/msouza\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.professores.uff.br\/msouza\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.professores.uff.br\/msouza\/wp-json\/wp\/v2\/comments?post=11"}],"version-history":[{"count":88,"href":"https:\/\/www.professores.uff.br\/msouza\/wp-json\/wp\/v2\/pages\/11\/revisions"}],"predecessor-version":[{"id":424,"href":"https:\/\/www.professores.uff.br\/msouza\/wp-json\/wp\/v2\/pages\/11\/revisions\/424"}],"wp:attachment":[{"href":"https:\/\/www.professores.uff.br\/msouza\/wp-json\/wp\/v2\/media?parent=11"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.professores.uff.br\/msouza\/wp-json\/wp\/v2\/categories?post=11"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.professores.uff.br\/msouza\/wp-json\/wp\/v2\/tags?post=11"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}