A fractional order epidemic model for the simulation of outbreaks of influenza A(H1N1). Zbl 1300.92099
González-Parra, Gilberto; Arenas, Abraham J.; Chen-Charpentier, Benito M. |
|
2014
|
Construction of nonstandard finite difference schemes for the SI and SIR epidemic models of fractional order. Zbl 1519.92235
Arenas, Abraham J.; González-Parra, Gilberto; Chen-Charpentier, Benito M. |
|
2016
|
Nonstandard numerical methods for a mathematical model for influenza disease. Zbl 1151.92018
Jódar, Lucas; Villanueva, Rafael J.; Arenas, Abraham J.; González, Gilberto C. |
|
2008
|
Combination of nonstandard schemes and Richardson’s extrapolation to improve the numerical solution of population models. Zbl 1205.65015
González-Parra, Gilberto; Arenas, Abraham J.; Chen-Charpentier, Benito M. |
|
2010
|
Non-standard numerical method for a mathematical model of RSV epidemiological transmission. Zbl 1155.92337
Arenas, Abraham J.; Moraño, José Antonio; Cortés, Juan Carlos |
|
2008
|
Modeling the spread of seasonal epidemiological diseases: Theory and applications. Zbl 1145.92336
Jódar, L.; Villanueva, R. J.; Arenas, A. |
|
2008
|
A nonstandard numerical scheme of predictor-corrector type for epidemic models. Zbl 1198.65116
Arenas, Abraham J.; González-Parra, Gilberto; Chen-Charpentier, Benito M. |
|
2010
|
Piecewise finite series solutions of seasonal diseases models using multistage Adomian method. Zbl 1221.65201
González-Parra, Gilberto; Arenas, Abraham J.; Jódar, Lucas |
|
2009
|
A nonstandard dynamically consistent numerical scheme applied to obesity dynamics. Zbl 1157.92028
Villanueva, Rafael J.; Arenas, Abraham J.; González-Parra, Gilberto |
|
2008
|
Polynomial chaos for random fractional order differential equations. Zbl 1354.34017
González-Parra, Gilberto; Chen-Charpentier, Benito; Arenas, Abraham J. |
|
2014
|
Existence of periodic solutions in a model of respiratory syncytial virus RSV. Zbl 1137.92318
Arenas, Abraham J.; González, Gilberto; Jódar, Lucas |
|
2008
|
An exact global solution for the classical SIRS epidemic model. Zbl 1196.34058
Acedo, L.; González-Parra, Gilberto; Arenas, Abraham J. |
|
2010
|
Dynamics of a model of toxoplasmosis disease in human and cat populations. Zbl 1186.34063
González-Parra, Gilberto C.; Arenas, Abraham J.; Aranda, Diego F.; Villanueva, Rafael J.; Jódar, Lucas |
|
2009
|
A nonstandard finite difference scheme for a nonlinear Black-Scholes equation. Zbl 1305.91238
Arenas, Abraham J.; González-Parra, Gilberto; Caraballo, Blas Melendez |
|
2013
|
Piecewise finite series solution of nonlinear initial value differential problem. Zbl 1166.65350
Arenas, Abraham J.; González-Parra, Gilberto; Jódar, Lucas; Villanueva, Rafael-J. |
|
2009
|
Modeling toxoplasmosis spread in cat populations under vaccination. Zbl 1403.92115
Arenas, Abraham J.; González-Parra, Gilberto; Villanueva Micó, Rafael-J. |
|
2010
|
Mathematical modeling of toxoplasmosis disease in varying size populations. Zbl 1155.92336
Aranda, Diego F.; Villanueva, Rafael J.; Arenas, Abraham J.; González-Parra, Gilberto C. |
|
2008
|
On the short-time dynamics of networks of Hebbian coupled oscillators. Zbl 0937.92501
Pérez Vicente, C. J.; Arenas, A.; Bonilla, L. L. |
|
1996
|
Dynamical analysis of the transmission of seasonal diseases using the differential transformation method. Zbl 1185.37177
Arenas, Abraham J.; González-Parra, Gilberto; Chen-Charpentier, Benito M. |
|
2009
|
Periodic solutions of nonautonomous differential systems modeling obesity population. Zbl 1198.34063
Arenas, Abraham J.; González-Parra, Gilberto; Jódar, Lucas |
|
2009
|
Qualitative analysis of a mathematical model with presymptomatic individuals and two SARS-CoV-2 variants. Zbl 1475.92165
González-Parra, Gilberto; Arenas, Abraham J. |
|
2021
|
A nonstandard finite difference numerical scheme applied to a mathematical model of the prevalence of smoking in Spain: a case study. Zbl 1329.91108
Guerrero, Francisco; González-Parra, Gilberto; Arenas, Abraham J. |
|
2014
|
Randomness in a mathematical model for the transmission of respiratory syncytial virus (RSV). Zbl 1184.92027
Arenas, Abraham J.; González-Parra, Gilberto; Jódar, Lucas |
|
2010
|
Accuracy of analytical-numerical solutions of the Michaelis-Menten equation. Zbl 1229.92042
Gonzalez-Parra, Gilberto; Acedo, Luis; Arenas, Abraham |
|
2011
|
Nonstandard numerical schemes for modeling a 2-DOF serial robot with rotational spring-damper-actuators. Zbl 1358.70002
Díaz-Rodríguez, Miguel; González-Parra, Gilberto; Arenas, Abraham J. |
|
2011
|
The simulation and interpretation of free turbulence with a cognitive neural system. Zbl 1184.76181
Giralt, Francesc; Arenas, A.; Ferre-Giné, J.; Rallo, R.; Kopp, G. A. |
|
2000
|
Stochastic modeling with Monte Carlo of obesity population. Zbl 1342.92094
González-Parra, Gilberto; Arenas, Abraham J.; Santonja, F.-J. |
|
2010
|
Arithmetic behaviour of the sums of three squares. Zbl 0623.10035
Arenas, A.; Bayer, P. |
|
1987
|
Quantitative aspects of the representations of integers by quadratic forms. Zbl 0695.10018
Arenas, A. |
|
1989
|
On some equivalences of positive definite binary quadratic forms. Zbl 0691.10012
Arenas, A. |
|
1989
|
On the traces of Hecke operators. Zbl 1030.11020
Arenas, A. |
|
2003
|
Rational equivalence of primitive integral binary quadratic forms. Zbl 0738.11035
Arenas, A. |
|
1991
|
Mathematical modeling to design public health policies for chikungunya epidemic using optimal control. Zbl 1469.92109
Gonzalez-Parra, Gilberto; Díaz-Rodríguez, Miguel; Arenas, Abraham J. |
|
2020
|
An arithmetic problem on the sums of three squares. Zbl 0663.10050
Arenas, A. |
|
1988
|
Nonlinear dynamics of a new seasonal epidemiological model with age-structure and nonlinear incidence rate. Zbl 1476.34099
Arenas, Abraham J.; González-Parra, Gilberto; De La Espriella, Nicolás |
|
2021
|
Qualitative analysis of a mathematical model with presymptomatic individuals and two SARS-CoV-2 variants. Zbl 1475.92165
González-Parra, Gilberto; Arenas, Abraham J. |
|
2021
|
Nonlinear dynamics of a new seasonal epidemiological model with age-structure and nonlinear incidence rate. Zbl 1476.34099
Arenas, Abraham J.; González-Parra, Gilberto; De La Espriella, Nicolás |
|
2021
|
Mathematical modeling to design public health policies for chikungunya epidemic using optimal control. Zbl 1469.92109
Gonzalez-Parra, Gilberto; Díaz-Rodríguez, Miguel; Arenas, Abraham J. |
|
2020
|
Construction of nonstandard finite difference schemes for the SI and SIR epidemic models of fractional order. Zbl 1519.92235
Arenas, Abraham J.; González-Parra, Gilberto; Chen-Charpentier, Benito M. |
|
2016
|
A fractional order epidemic model for the simulation of outbreaks of influenza A(H1N1). Zbl 1300.92099
González-Parra, Gilberto; Arenas, Abraham J.; Chen-Charpentier, Benito M. |
|
2014
|
Polynomial chaos for random fractional order differential equations. Zbl 1354.34017
González-Parra, Gilberto; Chen-Charpentier, Benito; Arenas, Abraham J. |
|
2014
|
A nonstandard finite difference numerical scheme applied to a mathematical model of the prevalence of smoking in Spain: a case study. Zbl 1329.91108
Guerrero, Francisco; González-Parra, Gilberto; Arenas, Abraham J. |
|
2014
|
A nonstandard finite difference scheme for a nonlinear Black-Scholes equation. Zbl 1305.91238
Arenas, Abraham J.; González-Parra, Gilberto; Caraballo, Blas Melendez |
|
2013
|
Accuracy of analytical-numerical solutions of the Michaelis-Menten equation. Zbl 1229.92042
Gonzalez-Parra, Gilberto; Acedo, Luis; Arenas, Abraham |
|
2011
|
Nonstandard numerical schemes for modeling a 2-DOF serial robot with rotational spring-damper-actuators. Zbl 1358.70002
Díaz-Rodríguez, Miguel; González-Parra, Gilberto; Arenas, Abraham J. |
|
2011
|
Combination of nonstandard schemes and Richardson’s extrapolation to improve the numerical solution of population models. Zbl 1205.65015
González-Parra, Gilberto; Arenas, Abraham J.; Chen-Charpentier, Benito M. |
|
2010
|
A nonstandard numerical scheme of predictor-corrector type for epidemic models. Zbl 1198.65116
Arenas, Abraham J.; González-Parra, Gilberto; Chen-Charpentier, Benito M. |
|
2010
|
An exact global solution for the classical SIRS epidemic model. Zbl 1196.34058
Acedo, L.; González-Parra, Gilberto; Arenas, Abraham J. |
|
2010
|
Modeling toxoplasmosis spread in cat populations under vaccination. Zbl 1403.92115
Arenas, Abraham J.; González-Parra, Gilberto; Villanueva Micó, Rafael-J. |
|
2010
|
Randomness in a mathematical model for the transmission of respiratory syncytial virus (RSV). Zbl 1184.92027
Arenas, Abraham J.; González-Parra, Gilberto; Jódar, Lucas |
|
2010
|
Stochastic modeling with Monte Carlo of obesity population. Zbl 1342.92094
González-Parra, Gilberto; Arenas, Abraham J.; Santonja, F.-J. |
|
2010
|
Piecewise finite series solutions of seasonal diseases models using multistage Adomian method. Zbl 1221.65201
González-Parra, Gilberto; Arenas, Abraham J.; Jódar, Lucas |
|
2009
|
Dynamics of a model of toxoplasmosis disease in human and cat populations. Zbl 1186.34063
González-Parra, Gilberto C.; Arenas, Abraham J.; Aranda, Diego F.; Villanueva, Rafael J.; Jódar, Lucas |
|
2009
|
Piecewise finite series solution of nonlinear initial value differential problem. Zbl 1166.65350
Arenas, Abraham J.; González-Parra, Gilberto; Jódar, Lucas; Villanueva, Rafael-J. |
|
2009
|
Dynamical analysis of the transmission of seasonal diseases using the differential transformation method. Zbl 1185.37177
Arenas, Abraham J.; González-Parra, Gilberto; Chen-Charpentier, Benito M. |
|
2009
|
Periodic solutions of nonautonomous differential systems modeling obesity population. Zbl 1198.34063
Arenas, Abraham J.; González-Parra, Gilberto; Jódar, Lucas |
|
2009
|
Nonstandard numerical methods for a mathematical model for influenza disease. Zbl 1151.92018
Jódar, Lucas; Villanueva, Rafael J.; Arenas, Abraham J.; González, Gilberto C. |
|
2008
|
Non-standard numerical method for a mathematical model of RSV epidemiological transmission. Zbl 1155.92337
Arenas, Abraham J.; Moraño, José Antonio; Cortés, Juan Carlos |
|
2008
|
Modeling the spread of seasonal epidemiological diseases: Theory and applications. Zbl 1145.92336
Jódar, L.; Villanueva, R. J.; Arenas, A. |
|
2008
|
A nonstandard dynamically consistent numerical scheme applied to obesity dynamics. Zbl 1157.92028
Villanueva, Rafael J.; Arenas, Abraham J.; González-Parra, Gilberto |
|
2008
|
Existence of periodic solutions in a model of respiratory syncytial virus RSV. Zbl 1137.92318
Arenas, Abraham J.; González, Gilberto; Jódar, Lucas |
|
2008
|
Mathematical modeling of toxoplasmosis disease in varying size populations. Zbl 1155.92336
Aranda, Diego F.; Villanueva, Rafael J.; Arenas, Abraham J.; González-Parra, Gilberto C. |
|
2008
|
On the traces of Hecke operators. Zbl 1030.11020
Arenas, A. |
|
2003
|
The simulation and interpretation of free turbulence with a cognitive neural system. Zbl 1184.76181
Giralt, Francesc; Arenas, A.; Ferre-Giné, J.; Rallo, R.; Kopp, G. A. |
|
2000
|
On the short-time dynamics of networks of Hebbian coupled oscillators. Zbl 0937.92501
Pérez Vicente, C. J.; Arenas, A.; Bonilla, L. L. |
|
1996
|
Rational equivalence of primitive integral binary quadratic forms. Zbl 0738.11035
Arenas, A. |
|
1991
|
Quantitative aspects of the representations of integers by quadratic forms. Zbl 0695.10018
Arenas, A. |
|
1989
|
On some equivalences of positive definite binary quadratic forms. Zbl 0691.10012
Arenas, A. |
|
1989
|
An arithmetic problem on the sums of three squares. Zbl 0663.10050
Arenas, A. |
|
1988
|
Arithmetic behaviour of the sums of three squares. Zbl 0623.10035
Arenas, A.; Bayer, P. |
|
1987
|