Abraham J. Arenas

Publication Activity (10 Years)

Years Active: 2008-2023
Publications (10 Years): 8

Top Topics

Finite Difference

Severe Acute Respiratory Syndrome

Mathematical Model

Numerical Solution

Top Venues

Comput. Appl. Math.

Math. Comput. Simul.

Publications

Gilberto González-Parra, Abraham J. Arenas, Benito M. Chen-Charpentier, Sharmin Sultana
Mathematical modeling of toxoplasmosis with multiple hosts, vertical transmission and cat vaccination. Comput. Appl. Math. 42 (2) (2023)
Gilberto González-Parra, Abraham J. Arenas
Mathematical Modeling of SARS-CoV-2 Omicron Wave under Vaccination Effects. Comput. 11 (2) (2023)
Gilberto González-Parra, Myladis R. Cogollo, Abraham J. Arenas
Mathematical Modeling to Study Optimal Allocation of Vaccines against COVID-19 Using an Age-Structured Population. Axioms 11 (3) (2022)
Gilberto C. González-Parra, Abraham J. Arenas
Qualitative analysis of a mathematical model with presymptomatic individuals and two SARS-CoV-2 variants. Comput. Appl. Math. 40 (6) (2021)
Abraham J. Arenas, Gilberto C. González-Parra, Nicolas De La Espriella
Nonlinear dynamics of a new seasonal epidemiological model with age-structure and nonlinear incidence rate. Comput. Appl. Math. 40 (2) (2021)
Gilberto C. González-Parra, Miguel Díaz-Rodríguez, Abraham J. Arenas
Optimization of the Controls against the Spread of Zika Virus in Populations. Comput. 8 (3) (2020)
Luis Acedo, Abraham J. Arenas, Nicolas De La Espriella
Exact Solution for Relativistic Trajectories Using Modal Transseries. Symmetry 12 (9) (2020)
Abraham J. Arenas, Gilberto C. González-Parra, Benito M. Chen-Charpentier
Construction of nonstandard finite difference schemes for the SI and SIR epidemic models of fractional order. Math. Comput. Simul. 121 (2016)
Gilberto C. González-Parra, Luis Acedo, Abraham J. Arenas
A novel approach to obtain analytical-numerical solutions of nonlinear Lorenz system. Numer. Algorithms 67 (1) (2014)
Gilberto C. González-Parra, Benito M. Chen-Charpentier, Abraham J. Arenas
Polynomial Chaos for random fractional order differential equations. Appl. Math. Comput. 226 (2014)
Abraham J. Arenas, Gilberto C. González-Parra, Blas Melendez Caraballo
A nonstandard finite difference scheme for a nonlinear Black-Scholes equation. Math. Comput. Model. 57 (7-8) (2013)
Gilberto C. González-Parra, Abraham J. Arenas, Benito M. Chen-Charpentier
Combination of nonstandard schemes and Richardson's extrapolation to improve the numerical solution of population models. Math. Comput. Model. 52 (7-8) (2010)
Abraham J. Arenas, Gilberto C. González-Parra, Lucas Jódar
Randomness in a mathematical model for the transmission of respiratory syncytial virus (RSV). Math. Comput. Simul. 80 (5) (2010)
Abraham J. Arenas, Gilberto C. González-Parra, Benito M. Chen-Charpentier
A nonstandard numerical scheme of predictor-corrector type for epidemic models. Comput. Math. Appl. 59 (12) (2010)
Abraham J. Arenas, Gilberto C. González-Parra, José Antonio Moraño
Stochastic modeling of the transmission of respiratory syncytial virus (RSV) in the region of Valencia, Spain. Biosyst. 96 (3) (2009)
Abraham J. Arenas, Gilberto C. González-Parra, Lucas Jódar, Rafael J. Villanueva
Piecewise finite series solution of nonlinear initial value differential problem. Appl. Math. Comput. 212 (1) (2009)
Gilberto C. González-Parra, Abraham J. Arenas, Diego F. Aranda, Rafael J. Villanueva, Lucas Jódar
Dynamics of a model of Toxoplasmosis disease in human and cat populations. Comput. Math. Appl. 57 (10) (2009)
Abraham J. Arenas, Gilberto C. González-Parra, Benito M. Chen-Charpentier
Dynamical analysis of the transmission of seasonal diseases using the differential transformation method. Math. Comput. Model. 50 (5-6) (2009)
Lucas Jódar, Rafael J. Villanueva, Abraham J. Arenas
Modeling the spread of seasonal epidemiological diseases: Theory and applications. Math. Comput. Model. 48 (3-4) (2008)
Diego F. Aranda, Rafael J. Villanueva, Abraham J. Arenas, Gilberto C. González-Parra
Mathematical modeling of Toxoplasmosis disease in varying size populations. Comput. Math. Appl. 56 (3) (2008)
Abraham J. Arenas, José Antonio Moraño, Juan Carlos Cortés
Non-standard numerical method for a mathematical model of RSV epidemiological transmission. Comput. Math. Appl. 56 (3) (2008)
Lucas Jódar, Rafael J. Villanueva, Abraham J. Arenas, Gilberto C. González-Parra
Nonstandard numerical methods for a mathematical model for influenza disease. Math. Comput. Simul. 79 (3) (2008)
Rafael J. Villanueva, Abraham J. Arenas, Gilberto C. González-Parra
A Nonstandard Dynamically Consistent Numerical Scheme Applied to Obesity Dynamics. J. Appl. Math. 2008 (2008)