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ABRAHAM J. ARENAS
ABRAHAM J. ARENAS
Full Professor of Applied Mathematics, Universidad de Córdoba, Colombia.
Dirección de correo verificada de correo.unicordoba.edu.co
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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
1642014
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
1182016
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
1172008
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
722010
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
712010
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
682008
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
552009
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
532011
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
502009
A nonstandard dynamically consistent numerical scheme applied to obesity dynamics
RJ Villanueva, AJ Arenas, G González-Parra
Journal of Applied Mathematics 2008, 2008
482008
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
452008
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
432009
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
432009
Modeling toxoplasmosis spread in cat populations under vaccination
AJ Arenas, G González-Parra, RJV Mico
Theoretical population biology 77 (4), 227-237, 2010
402010
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
372010
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
352013
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
352008
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
322010
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
302008
Piecewise finite series solution of nonlinear initial value differential problem
AJ Arenas, G González-Parra, L Jódar, RJ Villanueva
Applied Mathematics and Computation 212 (1), 209-215, 2009
222009
El sistema no puede realizar la operación en estos momentos. Inténtalo de nuevo más tarde.
Artículos 1–20