Publications
Refereed publications in journals and proceedings
2016–
- Stability and estimation problems related to a stage-structured epidemic model. Math. Biosci. Eng. 16(5):4415-4432 (2019, with M. L. Diouf & A. Iggidr)
- State Estimators for some epidemiological systems. J. Math. Biol. 78(1-2):225–256 (2019, with A. Iggidr)

- From fixation probabilities to d-player games: an inverse problem in evolutionary dynamics. Accepted in Bull. Math. Biol. (2018, with F.A.C.C. Chalub)
- Fitness potentials and qualitative properties of the Wright-Fisher dynamics. J. Theor. Biol. 457:57–65 (2018, with F.A.C.C. Chalub)

- Conservative parabolic problems: non-degenerated theory and degeneretaded examples from population dynamics.
Math. Methods Appl. Sci. 41(12):4391–4406 (2018, with O. Danilkina & F.A.C.C. Chalub)

- On the stochastic evolution of finite populations. J. Math. Biol. 75(6-7):1735–1774 (2017, with F.A.C.C. Chalub)

- Vector borne diseases on an urban environment: the effects of heterogeneity and human circulation. Ecol. Complex. 30:76–90 (2017, with A. Iggidr, J. Koiller, M.L.F. Penna, G. Sallet & M.A. Silva )

- On the dynamics of a class of multi-group models for vector-borne diseases. J. Math. Anal. Appl. 441(2):723–743 (2016, with A. Iggidr & G. Sallet)

- Fixation in large populations: a continuous view of a discrete problem. J. Math. Biol. 72(1-2):283–330 ( 2016, with F.A.C.C. Chalub)

2011–2015
- A Hedged Monte Carlo Approach to Real Option Pricing. Fields Inst. Commun. 74:275–299 (2015, with E. Brigatti, F. Macias & J.P. Zubelli)

- Costly inheritance and the persistence of insecticide resistance in Aedes aegypti populations. PLoS One 10(5):e0123961 (2015, with H. Schechtman)

- Robustness of Cucker-Smale flocking model. IET Control Theory & Appl. 9(3):346–350 (2015, with E. Canale, F. Dalmao & E. Mordecki)

- Discrete and continuous SIS epidemic models: a unifying approach. Ecol. Complex. 18:83–95 (2014, with F.A.C.C. Chalub)

- Multiscale analysis for a vector-borne epidemic model. J. Math. Biol. 68(5):1269–1293 (2014)

- The frequency-dependent Wright-Fisher model: diffusive and non-diffusive approximations. J. Math. Biol. 68(5):1089–1133 (2014, with F.A.C.C. Chalub)

- Time-scale separation and center manifold analysis describing vector-borne disease dynamics. Int. J. Comp. Math. 90(10):2105–2125 (2013, with F. Rocha, M. Aguiar & N. Stollenwerk)

- Real Option pricing with mean-reverting investment and project value. Eur. J. Financ. 19(7-8):624–644 (2013, with S. Jaimungal & J.P. Zubelli)

- A derivation of Holling’s type I, II and III functional responses in predator-prey systems. J. Theor. Biol. 327:11–22 (2013, with J.H.P. Dawes)

- Understanding the effect of vector dynamics in epidemic models using center manifold analysis. AIP Conf. Proc. 1479:1319 (2012, with F. Rocha, M. Aguiar & N. Stollenwerk)

- Global stability for a class of virus models with Cytotoxic T Lymphocyte immune response and antigenic variation. Bull. Math. Biol. 73:609–625 (2011, with J.P. Zubelli)

- Evolutionary dynamics of collective action. In The Mathematics of Darwin’s Legacy, J.F. Rodrigues & F.A.C.C. Chalub eds, Springer-Basel.
(2011, with J.M. Pacheco, F.C. Santos & B. Skyrms). 
- Continuous models for genetic evolution in large populations. In Dynamics, Games and Science I, M.M. Peixoto, A.A. Pinto, D.A. Rand eds, Springer-Verlag. (2011, with F.A.C.C. Chalub).

- Strategic investment decisions under fast mean-reversion stochastic volatility. Appl. Stoch. Models Bus. Ind. 27(1):61–69 (2011, with J.P. Zubelli)

- The SIR epidemic model from a PDE point of view. Math. Comp. Modelling 53(7-8):1568–1574 (2011, with F.A.C.C. Chalub)

2006–2010
- From discrete to continuous evolution models: a unifying approach to drift-diffusion and replicator dynamics. Theor. Pop. Biol. 76(4):268–277 (2009, with F.A.C.C. Chalub)

- Evolution of cooperation under N-person snowdrift games. J. Theor. Biol. 260(4):581–588 (2009, with J.M. Pacheco & F.C. Santos)

- A non-standard evolution problem arising in population genetics. Commun. Math. Sci. 7(2):489–502 (2009, with F.A.C.C. Chalub)

- Evolutionary dynamics of collective action in N-person Stag-Hunt Dilemmas. Proc. R. Soc. B 276(1655):315–321 (2009, with J.M. Pacheco, F.C. Santos & B. Skyrms)

- Investment Deferment under Fast Mean Reversion Stochastic Volatility. In Proceedings of the Fourth Brazilian Conference on Statistical Modelling in Insurance and Finance. (2009, with J.P. Zubelli).
- Discrete versus continuous models in evolutionary dynamics: from simple to simpler—and even simpler—models. Math. Comp. Modelling 47(7-8):743–754 (2008, with F.A.C.C. Chalub)

- Inverse problems and regularization techniques in option pricing.
Proc. Appl. Math. Mech. 7(1):1042403–1042404 (2007, with J.P. Zubelli)

- On the asymptotics of fast mean-reversion stochastic volatility models.
Int. J. Theor. Appl. Financ. 10(5):817–835 (2007, with J.P. Zubelli)

- Multiple scale asymptotics of fast mean reversion stochastic volatility models. In Proceedings of the Third Brazilian Conference on Statistical Modelling in Insurance and Finance (2007, with J.P. Zubelli).
1998–2005
- Asymptotic behavior of stochastic volatility models. In Proceedings of the Second Brazilian Conference on Statistical Modelling in Insurance and Finance (2005, with J.P. Zubelli).
- On the equation satisfied by a steady Prandtl-Munk vortex sheet.
Commun. Math. Sci. 1(1):68–73 (2003, with M.C. Lopes Filho & H.J. Nussenzveig Lopes)

- Projeto ótimo de gráficos de médias ponderadas exponencialmente (EWMA) para controle estatístico de processo. Pesq. Oper. 18(2):109–130 (1998, with E.K. Epprecht e A.L. Ninio)
Other publications
- Aedes, Wolbachia and Dengue. (2014, with M. Alvim, C. Codeço, A. Iggidr, J. Koiller & G. Sallet)

- Analysis of the dynamics of a class of models for vector-borne diseases with host circulation. (2013, with A. Iggidr & G. Sallet)

- Onset of a vector borne disease due to human circulation—uniform, local and network reproduction ratios. (2013, with M. Alvim, A. Iggidr, J. Koiller, M.L.F. Penna & G. Sallet)

- Evolutionary dynamics of collective action. In Advances in Artificial Life, MIT Press. (2011, with J.M. Pacheco, F.C. Santos & B. Skyrms)

- Evaluation of optional cancellation contracts. Real Options: 14th annual conference. (2010, with L.E. Muller & J.P. Zubelli).

- Real Option Pricing with Mean-Reverting Investment and Project Value. Real Options: 13th annual conference. (2009, with S. Jaimungal & J.P. Zubelli)

- Investment deferment under fast mean reversion stochastic volatility.
Real Options: 12th annual conference (2008, with J.P. Zubelli). 
- The continuous limit of the Moran process and the diffusion of mutant genes in infinite populations. (2006, with F.A.C.C. Chalub)

Submitted or in preparation
- Assessing Volatility and Model Risks in Optimal Execution. Submitted (with Y. Thamsten)
- From resistance to persistance: insights of a mathematical model on the indscriminate use of insecticide. Submitted (with H. Schechtman & D. Valle).
- Gradient flow formulations of discrete and continuous evolutionary models: a unifying perspective. Submitted (with F.A.C.C. Chalub, L. Monsaingeon & A.M. Ribeiro).
- On incipient vortex breakdown. Submitted (with S.J. Cowley).

- Multiscale modeling in evolutionary dynamics. In preparation (with F.A.C.C. Chalub).
- Spiral-type vortex breakdown on a trailing vortex: a weakly nonlinear marginal instability? In preparation (with S.J. Cowley).
- Selective signal smoothing. In preparation (with J.B. Limaco & R. Teixeira)
- Quasi-Cylindrical flows. In preparation.
- Portfolio selection with random transaction costs. In preparation (with M. Nazareth).
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