Abraham J. Arenas

A fractional order epidemic model for the simulation of outbreaks of influenza A(H1N1)

Gilberto González‐Parra, Abraham J. Arenas, Benito M. Chen‐Charpentier · Mathematical Methods in the Applied Sciences · 2013 · 161 citations

Infectious Disease Modeling, Infectious Disease Modelling, Fractional-order System +9

Construction of nonstandard finite difference schemes for the SI and SIR epidemic models of fractional order

Abraham J. Arenas, Gilberto González‐Parra, Benito M. Chen‐Charpentier · Mathematics and Computers in Simulation · 2015 · 123 citations

Fractional-order System, Discrete Dynamical System, Anomalous Diffusion +4

Nonstandard numerical methods for a mathematical model for influenza disease

L. Jódar, Rafael J. Villanueva, Abraham J. Arenas et al. · Mathematics and Computers in Simulation · 2008 · 99 citations

Numerical Analysis, Infectious Disease Modelling, Nonstandard Numerical Methods +6

Combination of nonstandard schemes and Richardson’s extrapolation to improve the numerical solution of population models

Gilberto González‐Parra, Abraham J. Arenas, Benito M. Chen‐Charpentier · Mathematical and Computer Modelling · 2010 · 66 citations

Numerical Analysis, Engineering, Numerical Solution +7

A nonstandard numerical scheme of predictor–corrector type for epidemic models

Abraham J. Arenas, Gilberto González‐Parra, Benito M. Chen‐Charpentier · Computers & Mathematics with Applications · 2010 · 61 citations

Disease Models, Infectious Disease Modeling, Infectious Disease Epidemiology +10