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Author ID: arenas.abraham-j Recent zbMATH articles by "Arenas, Abraham J."
Published as: Arenas, Abraham J.; Arenas, Abraham; Arenas, A.
Documents Indexed: 49 Publications since 1987, including 1 Additional arXiv Preprint
Co-Authors: 16 Co-Authors with 31 Joint Publications
236 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

35 Publications have been cited 358 times in 254 Documents Cited by Year
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.
49
2014
Nonstandard numerical methods for a mathematical model for influenza disease. Zbl 1151.92018
Jódar, Lucas; Villanueva, Rafael J.; Arenas, Abraham J.; González, Gilberto C.
40
2008
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.
31
2016
Non-standard numerical method for a mathematical model of RSV epidemiological transmission. Zbl 1155.92337
Arenas, Abraham J.; Moraño, José Antonio; Cortés, Juan Carlos
25
2008
Modeling the spread of seasonal epidemiological diseases: Theory and applications. Zbl 1145.92336
Jódar, L.; Villanueva, R. J.; Arenas, A.
25
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.
24
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.
21
2010
Piecewise finite series solutions of seasonal diseases models using multistage Adomian method. Zbl 1221.65201
González-Parra, Gilberto; Arenas, Abraham J.; Jódar, Lucas
15
2009
A nonstandard dynamically consistent numerical scheme applied to obesity dynamics. Zbl 1157.92028
Villanueva, Rafael J.; Arenas, Abraham J.; González-Parra, Gilberto
15
2008
Existence of periodic solutions in a model of respiratory syncytial virus RSV. Zbl 1137.92318
Arenas, Abraham J.; González, Gilberto; Jódar, Lucas
13
2008
Polynomial chaos for random fractional order differential equations. Zbl 1354.34017
González-Parra, Gilberto; Chen-Charpentier, Benito; Arenas, Abraham J.
13
2014
An exact global solution for the classical SIRS epidemic model. Zbl 1196.34058
Acedo, L.; González-Parra, Gilberto; Arenas, Abraham J.
11
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
10
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.
9
2009
Modeling toxoplasmosis spread in cat populations under vaccination. Zbl 1403.92115
Arenas, Abraham J.; González-Parra, Gilberto; Villanueva Micó, Rafael-J.
9
2010
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
8
2013
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.
7
2009
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.
7
2008
Periodic solutions of nonautonomous differential systems modeling obesity population. Zbl 1198.34063
Arenas, Abraham J.; González-Parra, Gilberto; Jódar, Lucas
5
2009
Randomness in a mathematical model for the transmission of respiratory syncytial virus (RSV). Zbl 1184.92027
Arenas, Abraham J.; González-Parra, Gilberto; Jódar, Lucas
4
2010
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.
4
2014
Qualitative analysis of a mathematical model with presymptomatic individuals and two SARS-CoV-2 variants. Zbl 1475.92165
González-Parra, Gilberto; Arenas, Abraham J.
4
2021
Accuracy of analytical-numerical solutions of the Michaelis-Menten equation. Zbl 1229.92042
Gonzalez-Parra, Gilberto; Acedo, Luis; Arenas, Abraham
3
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.
2
2011
On some equivalences of positive definite binary quadratic forms. Zbl 0691.10012
Arenas, A.
2
1989
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
Arithmetic behaviour of the sums of three squares. Zbl 0623.10035
Arenas, A.; Bayer, P.
2
1987
Quantitative aspects of the representations of integers by quadratic forms. Zbl 0695.10018
Arenas, A.
2
1989
Stochastic modeling with Monte Carlo of obesity population. Zbl 1342.92094
González-Parra, Gilberto; Arenas, Abraham J.; Santonja, F.-J.
2
2010
On the traces of Hecke operators. Zbl 1030.11020
Arenas, A.
2
2003
An arithmetic problem on the sums of three squares. Zbl 0663.10050
Arenas, A.
1
1988
Rational equivalence of primitive integral binary quadratic forms. Zbl 0738.11035
Arenas, A.
1
1991
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
1
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.
1
2020
Qualitative analysis of a mathematical model with presymptomatic individuals and two SARS-CoV-2 variants. Zbl 1475.92165
González-Parra, Gilberto; Arenas, Abraham J.
4
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
1
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.
1
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.
31
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.
49
2014
Polynomial chaos for random fractional order differential equations. Zbl 1354.34017
González-Parra, Gilberto; Chen-Charpentier, Benito; Arenas, Abraham J.
13
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.
4
2014
A nonstandard finite difference scheme for a nonlinear Black-Scholes equation. Zbl 1305.91238
Arenas, Abraham J.; González-Parra, Gilberto; Caraballo, Blas Melendez
8
2013
Accuracy of analytical-numerical solutions of the Michaelis-Menten equation. Zbl 1229.92042
Gonzalez-Parra, Gilberto; Acedo, Luis; Arenas, Abraham
3
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.
2
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.
24
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.
21
2010
An exact global solution for the classical SIRS epidemic model. Zbl 1196.34058
Acedo, L.; González-Parra, Gilberto; Arenas, Abraham J.
11
2010
Modeling toxoplasmosis spread in cat populations under vaccination. Zbl 1403.92115
Arenas, Abraham J.; González-Parra, Gilberto; Villanueva Micó, Rafael-J.
9
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
4
2010
Stochastic modeling with Monte Carlo of obesity population. Zbl 1342.92094
González-Parra, Gilberto; Arenas, Abraham J.; Santonja, F.-J.
2
2010
Piecewise finite series solutions of seasonal diseases models using multistage Adomian method. Zbl 1221.65201
González-Parra, Gilberto; Arenas, Abraham J.; Jódar, Lucas
15
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
10
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.
9
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.
7
2009
Periodic solutions of nonautonomous differential systems modeling obesity population. Zbl 1198.34063
Arenas, Abraham J.; González-Parra, Gilberto; Jódar, Lucas
5
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.
40
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
25
2008
Modeling the spread of seasonal epidemiological diseases: Theory and applications. Zbl 1145.92336
Jódar, L.; Villanueva, R. J.; Arenas, A.
25
2008
A nonstandard dynamically consistent numerical scheme applied to obesity dynamics. Zbl 1157.92028
Villanueva, Rafael J.; Arenas, Abraham J.; González-Parra, Gilberto
15
2008
Existence of periodic solutions in a model of respiratory syncytial virus RSV. Zbl 1137.92318
Arenas, Abraham J.; González, Gilberto; Jódar, Lucas
13
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.
7
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.
2
1989
An arithmetic problem on the sums of three squares. Zbl 0663.10050
Arenas, A.
1
1988
Arithmetic behaviour of the sums of three squares. Zbl 0623.10035
Arenas, A.; Bayer, P.
2
1987
all top 5

Cited by 481 Authors

19 González-Parra, Gilberto C.
17 Arenas, Abraham J.
15 Sweilam, Nasser Hassan
13 Băleanu, Dumitru I.
9 Al-Mekhlafi, Seham Mahyoub
9 Cortés López, Juan Carlos
9 Hoang, Manh Tuan
8 Villafuerte, Laura
7 Jódar Sanchez, Lucas Antonio
6 Burgos, Clara
6 Jiang, Daqing
5 Ahmed, Nauman
5 Chen-Charpentier, Benito Miguel
5 Patidar, Kailash C.
5 Villanueva, Rafael-Jacinto
4 Abdeljawad, Thabet
4 Abdullah, Farah Aini
4 Angstmann, Christopher N.
4 Calatayud, Julia
4 Ding, Xiaohua
4 Hayat, Tasawar
4 Henry, Bruce I.
4 Ismail, Ahmad Izani Md.
4 Jornet, Marc
4 McGann, Anna V.
4 Mohamed, D. G.
4 Mohd, Mohd Hafiz
4 Rehman, Muhammad Aziz-Ur
4 Zibaei, Sadegh
3 Abolghasemi, Hossein
3 Acedo, Luis
3 Ahmad, Bashir
3 Ahmad, Muhammad Ozair
3 Al-saedi, Ahmed Eid Salem
3 Assiri, Taghreed Abdul Rahman
3 Duan, Junsheng
3 Fatoorehchi, Hooman
3 Ishiwata, Emiko
3 Liu, Qun
3 Macías-Díaz, Jorge Eduardo
3 Moustafa, Mahmoud
3 Rach, Randolph C.
3 Rihan, Fathalla A.
3 Saad, Omar Mohamed
3 Sekiguchi, Masaki
3 Torres, Delfim Fernando Marado
3 Yang, Yu
3 Zafar, Zain Ul Abadin
2 Aguiar, Maíra
2 Albalawi, Anan O.
2 Alonso Quesada, Santiago
2 Alshomrani, Ali Saleh
2 Amidou, Morou
2 Christopher, Anthonysamy John
2 Córdova-Lepe, Fernando
2 Darti, Isnani
2 de la Sen, Manuel
2 Debbouche, Amar
2 Ding, Deqiong
2 Dlamini, Phumlani Goodwill
2 Dos Santos, José Paulo Carvalho
2 Dyshaev, Mikhaĭl Mikhaĭlovich
2 Erickson, Austen M.
2 Fëdorov, Vladimir Evgen’evich
2 Gilot-Fromont, E.
2 Gómez-Aguilar, José Francisco
2 Ibeas, Asier
2 Inc, Mustafa
2 Iqbal, Zafar
2 Jafari, Mohsen A.
2 Kerr, Gilbert
2 Khalsaraei, Mohammad Mehdizadeh
2 Kheiri, Hossein
2 Khumalo, Melusi
2 Langlais, Michel R.
2 Lélu, M.
2 Li, Tianzeng
2 Liao, Cuicui
2 Liu, Juan
2 Liu, Junli
2 Liu, Songnan
2 Ma, Qiang
2 Ma, Xinsheng
2 Misra, Arvind Kumar
2 Mostefaoui, Imene Meriem
2 Murray, John M.
2 Nagy, Abdelhameed M.
2 Namjoo, Mehran
2 Nichols, James A.
2 Okyere, Eric
2 Otto, Adamou
2 Ouifki, Rachid
2 Poulle, M.-L.
2 Robledo, Gonzalo
2 Ruiz-Ramírez, Javier
2 Shah, Kamal
2 Sultana, Sharmin
2 Suryanto, Agus
2 Ud Din, Rahim
2 Vargas-De-León, Cruz
...and 381 more Authors
all top 5

Cited in 97 Serials

18 Advances in Difference Equations
15 Chaos, Solitons and Fractals
12 Journal of Difference Equations and Applications
10 Applied Mathematics and Computation
10 Mathematics and Computers in Simulation
10 Computational and Applied Mathematics
9 Physica A
9 Applied Mathematical Modelling
8 International Journal of Biomathematics
7 Computers & Mathematics with Applications
7 Journal of Computational and Applied Mathematics
7 Journal of Applied Mathematics and Computing
6 Theoretical Population Biology
5 Mathematical Methods in the Applied Sciences
5 International Journal of Computer Mathematics
5 Communications in Nonlinear Science and Numerical Simulation
4 Abstract and Applied Analysis
4 Nonlinear Analysis. Real World Applications
3 Journal of Mathematical Analysis and Applications
3 Discrete Dynamics in Nature and Society
3 Journal of Applied Mathematics
2 Bulletin of Mathematical Biology
2 Applied Mathematics Letters
2 Mathematical and Computer Modelling
2 Fractals
2 Mathematical Problems in Engineering
2 International Journal of Applied Mathematics and Computer Science
2 International Journal of Nonlinear Sciences and Numerical Simulation
2 Nonlinear Analysis. Modelling and Control
2 Discrete and Continuous Dynamical Systems. Series B
2 Acta Mathematica Scientia. Series B. (English Edition)
2 Mathematical Biosciences and Engineering
2 Journal of Biological Dynamics
2 Computational & Mathematical Methods in Medicine
2 Advances in Differential Equations and Control Processes
2 S\(\vec{\text{e}}\)MA Journal
2 International Journal of Advances in Applied Mathematics and Mechanics
2 International Journal of Applied and Computational Mathematics
1 Applicable Analysis
1 Journal of the Franklin Institute
1 Journal of Mathematical Biology
1 Mathematical Biosciences
1 Physics Letters. A
1 Physics Reports
1 BIT
1 Fuzzy Sets and Systems
1 Information Sciences
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Differential Equations
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Bulletin of the Korean Mathematical Society
1 Applied Numerical Mathematics
1 Computational Mathematics and Modeling
1 Applications of Mathematics
1 Numerical Algorithms
1 SIAM Journal on Applied Mathematics
1 SIAM Review
1 Formal Methods in System Design
1 Applied Mathematics. Series B (English Edition)
1 Journal of Mathematical Sciences (New York)
1 Electronic Journal of Differential Equations (EJDE)
1 Turkish Journal of Mathematics
1 Filomat
1 Complexity
1 Mathematical Population Studies
1 Qualitative Theory of Dynamical Systems
1 Gravitation & Cosmology
1 Far East Journal of Dynamical Systems
1 Journal of Systems Science and Complexity
1 South East Asian Journal of Mathematics and Mathematical Sciences
1 Hacettepe Journal of Mathematics and Statistics
1 Thai Journal of Mathematics
1 Mediterranean Journal of Mathematics
1 Sibirskie Èlektronnye Matematicheskie Izvestiya
1 Boundary Value Problems
1 Journal of Industrial and Management Optimization
1 Mathematical Modelling of Natural Phenomena
1 Discrete and Continuous Dynamical Systems. Series S
1 Journal of Nonlinear Science and Applications
1 Advances in Mathematical Physics
1 Advances in Applied Mathematics and Mechanics
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 Fractional Differential Calculus
1 Biomath
1 Electronic Journal of Mathematical Analysis and Applications EJMAA
1 Journal of Mathematics
1 Mathematics
1 Epidemiologic Methods
1 Iranian Journal of Numerical Analysis and Optimization
1 Sahand Communications in Mathematical Analysis
1 International Journal of Systems Science. Principles and Applications of Systems and Integration
1 Applied Mathematics and Nonlinear Sciences
1 Transactions of A. Razmadze Mathematical Institute
1 Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal

Citations by Year