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Arenas, Abraham J.

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Author ID: arenas.abraham-j Recent zbMATH articles by "Arenas, Abraham J."
Published as: Arenas, A.; Arenas, Abraham; Arenas, Abraham J.
Documents Indexed: 43 Publications since 1987

Publications by Year

Citations contained in zbMATH

30 Publications have been cited 230 times in 153 Documents Cited by Year
Nonstandard numerical methods for a mathematical model for influenza disease. Zbl 1151.92018
Jódar, Lucas; Villanueva, Rafael J.; Arenas, Abraham J.; González, Gilberto C.
31
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
22
2008
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.
19
2014
A nonstandard numerical scheme of predictor-corrector type for epidemic models. Zbl 1198.65116
Arenas, Abraham J.; González-Parra, Gilberto; Chen-Charpentier, Benito M.
16
2010
Modeling the spread of seasonal epidemiological diseases: Theory and applications. Zbl 1145.92336
Jódar, L.; Villanueva, R. J.; Arenas, A.
16
2008
Polynomial chaos for random fractional order differential equations. Zbl 1354.34017
González-Parra, Gilberto; Chen-Charpentier, Benito; Arenas, Abraham J.
11
2014
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.
11
2010
A nonstandard dynamically consistent numerical scheme applied to obesity dynamics. Zbl 1157.92028
Villanueva, Rafael J.; Arenas, Abraham J.; González-Parra, Gilberto
11
2008
Piecewise finite series solutions of seasonal diseases models using multistage Adomian method. Zbl 1221.65201
González-Parra, Gilberto; Arenas, Abraham J.; Jódar, Lucas
10
2009
Existence of periodic solutions in a model of respiratory syncytial virus RSV. Zbl 1137.92318
Arenas, Abraham J.; González, Gilberto; Jódar, Lucas
10
2008
On the short-time dynamics of networks of Hebbian coupled oscillators. Zbl 0937.92501
Pérez Vicente, C. J.; Arenas, A.; Bonilla, L. L.
8
1996
A nonstandard finite difference scheme for a nonlinear Black-Scholes equation. Zbl 1305.91238
Arenas, Abraham J.; González-Parra, Gilberto; Caraballo, Blas Melendez
7
2013
An exact global solution for the classical SIRS epidemic model. Zbl 1196.34058
Acedo, L.; González-Parra, Gilberto; Arenas, Abraham J.
7
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
7
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.
7
2009
Modeling toxoplasmosis spread in cat populations under vaccination. Zbl 1403.92115
Arenas, Abraham J.; González-Parra, Gilberto; Villanueva Micó, Rafael-J.
6
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.
5
2008
Randomness in a mathematical model for the transmission of respiratory syncytial virus (RSV). Zbl 1184.92027
Arenas, Abraham J.; González-Parra, Gilberto; Jódar, Lucas
3
2010
Periodic solutions of nonautonomous differential systems modeling obesity population. Zbl 1198.34063
Arenas, Abraham J.; González-Parra, Gilberto; Jódar, Lucas
3
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.
3
2009
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.
2
2014
Accuracy of analytical-numerical solutions of the Michaelis-Menten equation. Zbl 1229.92042
Gonzalez-Parra, Gilberto; Acedo, Luis; Arenas, Abraham
2
2011
On the traces of Hecke operators. Zbl 1030.11020
Arenas, A.
2
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.
2
2000
On some equivalences of positive definite binary quadratic forms. Zbl 0691.10012
Arenas, A.
2
1989
An arithmetic problem on the sums of three squares. Zbl 0663.10050
Arenas, A.
2
1988
Arithmetic behaviour of the sums of three squares. Zbl 0623.10035
Arenas, A.; Bayer, P.
2
1987
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.
1
2011
Rational equivalence of primitive integral binary quadratic forms. Zbl 0738.11035
Arenas, A.
1
1991
Quantitative aspects of the representations of integers by quadratic forms. Zbl 0695.10018
Arenas, A.
1
1989
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.
19
2014
Polynomial chaos for random fractional order differential equations. Zbl 1354.34017
González-Parra, Gilberto; Chen-Charpentier, Benito; Arenas, Abraham J.
11
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.
2
2014
A nonstandard finite difference scheme for a nonlinear Black-Scholes equation. Zbl 1305.91238
Arenas, Abraham J.; González-Parra, Gilberto; Caraballo, Blas Melendez
7
2013
Accuracy of analytical-numerical solutions of the Michaelis-Menten equation. Zbl 1229.92042
Gonzalez-Parra, Gilberto; Acedo, Luis; Arenas, Abraham
2
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.
1
2011
A nonstandard numerical scheme of predictor-corrector type for epidemic models. Zbl 1198.65116
Arenas, Abraham J.; González-Parra, Gilberto; Chen-Charpentier, Benito M.
16
2010
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.
11
2010
An exact global solution for the classical SIRS epidemic model. Zbl 1196.34058
Acedo, L.; González-Parra, Gilberto; Arenas, Abraham J.
7
2010
Modeling toxoplasmosis spread in cat populations under vaccination. Zbl 1403.92115
Arenas, Abraham J.; González-Parra, Gilberto; Villanueva Micó, Rafael-J.
6
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
3
2010
Piecewise finite series solutions of seasonal diseases models using multistage Adomian method. Zbl 1221.65201
González-Parra, Gilberto; Arenas, Abraham J.; Jódar, Lucas
10
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
7
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.
7
2009
Periodic solutions of nonautonomous differential systems modeling obesity population. Zbl 1198.34063
Arenas, Abraham J.; González-Parra, Gilberto; Jódar, Lucas
3
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.
3
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.
31
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
22
2008
Modeling the spread of seasonal epidemiological diseases: Theory and applications. Zbl 1145.92336
Jódar, L.; Villanueva, R. J.; Arenas, A.
16
2008
A nonstandard dynamically consistent numerical scheme applied to obesity dynamics. Zbl 1157.92028
Villanueva, Rafael J.; Arenas, Abraham J.; González-Parra, Gilberto
11
2008
Existence of periodic solutions in a model of respiratory syncytial virus RSV. Zbl 1137.92318
Arenas, Abraham J.; González, Gilberto; Jódar, Lucas
10
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.
5
2008
On the traces of Hecke operators. Zbl 1030.11020
Arenas, A.
2
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.
2
2000
On the short-time dynamics of networks of Hebbian coupled oscillators. Zbl 0937.92501
Pérez Vicente, C. J.; Arenas, A.; Bonilla, L. L.
8
1996
Rational equivalence of primitive integral binary quadratic forms. Zbl 0738.11035
Arenas, A.
1
1991
On some equivalences of positive definite binary quadratic forms. Zbl 0691.10012
Arenas, A.
2
1989
Quantitative aspects of the representations of integers by quadratic forms. Zbl 0695.10018
Arenas, A.
1
1989
An arithmetic problem on the sums of three squares. Zbl 0663.10050
Arenas, A.
2
1988
Arithmetic behaviour of the sums of three squares. Zbl 0623.10035
Arenas, A.; Bayer, P.
2
1987
all top 5

Cited by 290 Authors

14 Arenas, Abraham J.
14 González-Parra, Gilberto C.
9 Cortés López, Juan Carlos
7 Jódar Sanchez, Lucas Antonio
7 Villafuerte, Laura
6 Burgos, Clara
5 Sweilam, Nasser Hassan
5 Villanueva, Rafael-Jacinto
4 Chen-Charpentier, Benito M.
4 Ding, Xiaohua
4 Patidar, Kailash C.
3 Acedo, Luis
3 Al-saedi, Ahmed Eid Salem
3 Angstmann, Christopher N.
3 Băleanu, Dumitru I.
3 Duan, Junsheng
3 Hayat, Tasawar
3 Henry, Bruce I.
3 Ishiwata, Emiko
3 Jiang, Daqing
3 Macías-Díaz, Jorge Eduardo
3 McGann, Anna V.
3 Rach, Randolph C.
3 Sekiguchi, Masaki
2 Abdullah, Farah Aini
2 Abolghasemi, Hossein
2 Acebrón, Juan A.
2 Al-Mekhlafi, Seham Mahyoub
2 Alonso Quesada, Santiago
2 Arenas, Alex
2 Bonilla, Luis Lopez
2 Calatayud, Julia
2 Córdova-Lepe, Fernando
2 de la Sen, Manuel
2 Debbouche, Amar
2 Ding, Deqiong
2 Dlamini, Phumlani Goodwill
2 Earnest, Andrew G.
2 Fatoorehchi, Hooman
2 Gilot-Fromont, E.
2 Hölzel, Robert W.
2 Ibeas, Asier
2 Izani Ismail, Ahmad
2 Khalsaraei, Mohammad Mehdizadeh
2 Khumalo, Melusi
2 Krischer, Katharina
2 Langlais, Michel R.
2 Lélu, M.
2 Liao, Cuicui
2 Liu, Juan
2 Liu, Junli
2 Ma, Qiang
2 Mohamed, D. G.
2 Mohd, Mohd Hafiz
2 Ouifki, Rachid
2 Poulle, M.-L.
2 Rihan, Fathalla A.
2 Robledo, Gonzalo
2 Ruiz-Ramírez, Javier
2 Saad, Omar Mohamed
2 Spigler, Renato
2 Torres, Delfim Fernando Marado
2 Yang, Yu
2 Zhang, Tailei
2 Zhao, Xiaopeng
1 Abdelaziz, Mahmoud A. M.
1 Ağırağaç, Nermin
1 Aguiar, Maíra
1 Ahmad, Bashir
1 Ahmad, M. Ohmair
1 Ahmad, Riaz
1 Akuamoah, Saviour Worlanyo
1 Alharbi, Sayer Obaid
1 Alsina, Montserrat
1 Amster, Pablo
1 Anderssen, Robert Scott
1 Apeanti, Wilson Osafo
1 Aranda L., Diego F.
1 Aranda, Diego F.
1 Arenas, Abbiana R.
1 Avelar-González, F. J.
1 Avila-Vales, Eric Jose
1 Aygin, Zafer Selçuk
1 Aziz, Sara
1 Babatin, Mohammed M.
1 Bai, Zhenguo
1 Bayer Isant, Pilar
1 Bekiryazici, Zafer
1 Benincasa, Tommaso
1 Biswas, Raj Kumar
1 Blanco-Cocom, Luis D.
1 Bodzioch, Mariusz
1 Bolker, Benjamin M.
1 Bronski, Jared C.
1 Cadieu, Charles F.
1 Camacho, Jorge Fernando
1 Cardoso, Lislaine Cristina
1 Chaolu, Temuer
1 Chatzakos, Dimitrios
1 Chiranjeevi, Tirumalasetty
...and 190 more Authors
all top 5

Cited in 72 Serials

9 Applied Mathematics and Computation
9 Journal of Difference Equations and Applications
8 Advances in Difference Equations
7 Computers & Mathematics with Applications
7 Journal of Computational and Applied Mathematics
6 Theoretical Population Biology
5 Chaos, Solitons and Fractals
5 Applied Mathematical Modelling
5 Computational and Applied Mathematics
4 Journal of Mathematical Analysis and Applications
4 Abstract and Applied Analysis
3 Journal of Number Theory
3 Mathematics and Computers in Simulation
3 Physica D
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Communications in Nonlinear Science and Numerical Simulation
3 Nonlinear Analysis. Real World Applications
2 Physica A
2 Physics Letters. A
2 Bulletin of Mathematical Biology
2 Applied Mathematics Letters
2 Mathematical and Computer Modelling
2 Mathematical Problems in Engineering
2 Discrete Dynamics in Nature and Society
2 International Journal of Applied Mathematics and Computer Science
2 International Journal of Nonlinear Sciences and Numerical Simulation
2 Journal of Applied Mathematics
2 Computational & Mathematical Methods in Medicine
1 Applicable Analysis
1 International Journal of Systems Science
1 Journal of Fluid Mechanics
1 Journal of the Franklin Institute
1 Mathematical Methods in the Applied Sciences
1 Fuzzy Sets and Systems
1 Information Sciences
1 Journal of Algebra
1 Manuscripta Mathematica
1 Bulletin of the Korean Mathematical Society
1 Applied Numerical Mathematics
1 Neural Computation
1 Applications of Mathematics
1 Numerical Algorithms
1 International Journal of Computer Mathematics
1 SIAM Journal on Applied Mathematics
1 Formal Methods in System Design
1 Journal of Mathematical Sciences (New York)
1 Chaos
1 Gravitation & Cosmology
1 Nonlinear Analysis. Modelling and Control
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of Systems Science and Complexity
1 Communications on Pure and Applied Analysis
1 Journal of Applied Mathematics and Computing
1 SIAM Journal on Applied Dynamical Systems
1 Mediterranean Journal of Mathematics
1 Mathematical Biosciences and Engineering
1 Sibirskie Èlektronnye Matematicheskie Izvestiya
1 Journal of Biological Dynamics
1 Mathematical Modelling of Natural Phenomena
1 Discrete and Continuous Dynamical Systems. Series S
1 Journal of Nonlinear Science and Applications
1 Advances in Differential Equations and Control Processes
1 International Journal for Numerical Methods in Biomedical Engineering
1 Afrika Matematika
1 Journal of Theoretical Biology
1 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika
1 Electronic Journal of Mathematical Analysis and Applications EJMAA
1 Journal of Mathematics
1 Mathematics
1 Sahand Communications in Mathematical Analysis
1 International Journal of Applied and Computational Mathematics
1 International Journal of Systems Science. Principles and Applications of Systems and Integration

Citations by Year