A fractional order epidemic model for the simulation of outbreaks of influenza A (H1N1) G González‐Parra, AJ Arenas, BM Chen‐Charpentier Mathematical methods in the Applied Sciences 37 (15), 2218-2226, 2014 | 173 | 2014 |
Construction of nonstandard finite difference schemes for the SI and SIR epidemic models of fractional order AJ Arenas, G Gonzalez-Parra, BM Chen-Charpentier Mathematics and Computers in Simulation 121, 48-63, 2016 | 124 | 2016 |
Nonstandard numerical methods for a mathematical model for influenza disease L Jódar, RJ Villanueva, AJ Arenas, GC González Mathematics and Computers in simulation 79 (3), 622-633, 2008 | 123 | 2008 |
A nonstandard numerical scheme of predictor–corrector type for epidemic models AJ Arenas, G González-Parra, BM Chen-Charpentier Computers & Mathematics with Applications 59 (12), 3740-3749, 2010 | 73 | 2010 |
Combination of nonstandard schemes and Richardson’s extrapolation to improve the numerical solution of population models G González-Parra, AJ Arenas, BM Chen-Charpentier Mathematical and Computer Modelling 52 (7-8), 1030-1036, 2010 | 71 | 2010 |
Non-standard numerical method for a mathematical model of RSV epidemiological transmission AJ Arenas, JA Moraño, JC Cortés Computers & Mathematics with Applications 56 (3), 670-678, 2008 | 69 | 2008 |
Piecewise finite series solutions of seasonal diseases models using multistage Adomian method G González-Parra, AJ Arenas, L Jódar Communications in Nonlinear Science and Numerical Simulation 14 (11), 3967-3977, 2009 | 56 | 2009 |
Modeling the epidemic waves of AH1N1/09 influenza around the world G González-Parra, AJ Arenas, DF Aranda, L Segovia Spatial and spatio-temporal epidemiology 2 (4), 219-226, 2011 | 54 | 2011 |
Dynamics of a model of Toxoplasmosis disease in human and cat populations GC González-Parra, AJ Arenas, DF Aranda, RJ Villanueva, L Jódar Computers & Mathematics with applications 57 (10), 1692-1700, 2009 | 51 | 2009 |
A nonstandard dynamically consistent numerical scheme applied to obesity dynamics RJ Villanueva, AJ Arenas, G González-Parra Journal of Applied Mathematics 2008, 1-14, 2008 | 49 | 2008 |
Modeling the spread of seasonal epidemiological diseases: theory and applications L Jódar, RJ Villanueva, A Arenas Mathematical and Computer Modelling 48 (3-4), 548-557, 2008 | 46 | 2008 |
Dynamical analysis of the transmission of seasonal diseases using the differential transformation method AJ Arenas, G González-Parra, BM Chen-Charpentier Mathematical and Computer Modelling 50 (5-6), 765-776, 2009 | 43 | 2009 |
Stochastic modeling of the transmission of respiratory syncytial virus (RSV) in the region of Valencia, Spain AJ Arenas, G González-Parra, JA Moraño Biosystems 96 (3), 206-212, 2009 | 43 | 2009 |
Modeling toxoplasmosis spread in cat populations under vaccination AJ Arenas, G González-Parra, RJV Micó Theoretical population biology 77 (4), 227-237, 2010 | 41 | 2010 |
An exact global solution for the classical SIRS epidemic model L Acedo, G González-Parra, AJ Arenas Nonlinear Analysis: Real World Applications 11 (3), 1819-1825, 2010 | 41 | 2010 |
Mathematical modeling of Toxoplasmosis disease in varying size populations DF Aranda, RJ Villanueva, AJ Arenas, GC González-Parra Computers & Mathematics with applications 56 (3), 690-696, 2008 | 36 | 2008 |
A nonstandard finite difference scheme for a nonlinear Black–Scholes equation AJ Arenas, G González-Parra, BM Caraballo Mathematical and Computer Modelling 57 (7-8), 1663-1670, 2013 | 35 | 2013 |
Modeling the social obesity epidemic with stochastic networks G González-Parra, L Acedo, RJV Micó, AJ Arenas Physica A: Statistical Mechanics and its Applications 389 (17), 3692-3701, 2010 | 32 | 2010 |
Existence of periodic solutions in a model of respiratory syncytial virus RSV AJ Arenas, G González, L Jódar Journal of mathematical analysis and applications 344 (2), 969-980, 2008 | 30 | 2008 |
Polynomial chaos for random fractional order differential equations G González-Parra, B Chen-Charpentier, AJ Arenas Applied Mathematics and Computation 226, 123-130, 2014 | 24 | 2014 |