Abraham J. Arenas

1.4k total citations
57 papers, 1.1k citations indexed

About

Abraham J. Arenas is a scholar working on Public Health, Environmental and Occupational Health, Modeling and Simulation and Infectious Diseases. According to data from OpenAlex, Abraham J. Arenas has authored 57 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 35 papers in Public Health, Environmental and Occupational Health, 34 papers in Modeling and Simulation and 15 papers in Infectious Diseases. Recurrent topics in Abraham J. Arenas's work include Mathematical and Theoretical Epidemiology and Ecology Models (33 papers), COVID-19 epidemiological studies (21 papers) and Fractional Differential Equations Solutions (17 papers). Abraham J. Arenas is often cited by papers focused on Mathematical and Theoretical Epidemiology and Ecology Models (33 papers), COVID-19 epidemiological studies (21 papers) and Fractional Differential Equations Solutions (17 papers). Abraham J. Arenas collaborates with scholars based in Colombia, Venezuela and United States. Abraham J. Arenas's co-authors include Gilberto González‐Parra, Benito M. Chen‐Charpentier, Rafael J. Villanueva, L. Jódar, J.-A. Moraño, L. Acedo, Miguel Díaz‐Rodríguez, J.‐C. Cortés, N. De La Espriella and Francisco Guerrero and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of Magnetism and Magnetic Materials and Journal of Mathematical Analysis and Applications.

In The Last Decade

Abraham J. Arenas

55 papers receiving 1.0k citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Abraham J. Arenas Colombia 20 746 589 164 147 127 57 1.1k
Rafael J. Villanueva Spain 21 536 0.7× 378 0.6× 147 0.9× 123 0.8× 136 1.1× 148 1.4k
Gilberto González‐Parra United States 21 930 1.2× 722 1.2× 333 2.0× 157 1.1× 140 1.1× 105 1.5k
Fabio Milner United States 24 527 0.7× 727 1.2× 75 0.5× 304 2.1× 204 1.6× 82 1.7k
Gergely Röst Hungary 22 820 1.1× 645 1.1× 343 2.1× 258 1.8× 47 0.4× 97 1.5k
Il Hyo Jung South Korea 17 581 0.8× 604 1.0× 159 1.0× 263 1.8× 48 0.4× 98 1.3k
Andrew Omame Nigeria 24 1.1k 1.5× 967 1.6× 368 2.2× 181 1.2× 40 0.3× 77 1.6k
Olumuyiwa James Peter Nigeria 24 970 1.3× 852 1.4× 360 2.2× 237 1.6× 41 0.3× 81 1.6k
Amir Khan Pakistan 26 962 1.3× 751 1.3× 143 0.9× 114 0.8× 91 0.7× 81 1.5k
Jean Lubuma South Africa 23 903 1.2× 748 1.3× 262 1.6× 297 2.0× 352 2.8× 90 1.6k
Shujing Gao China 25 799 1.1× 1.2k 2.0× 65 0.4× 674 4.6× 74 0.6× 103 1.7k

Countries citing papers authored by Abraham J. Arenas

Since Specialization
Citations

This map shows the geographic impact of Abraham J. Arenas's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Abraham J. Arenas with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Abraham J. Arenas more than expected).

Fields of papers citing papers by Abraham J. Arenas

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Abraham J. Arenas. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Abraham J. Arenas. The network helps show where Abraham J. Arenas may publish in the future.

Co-authorship network of co-authors of Abraham J. Arenas

This figure shows the co-authorship network connecting the top 25 collaborators of Abraham J. Arenas. A scholar is included among the top collaborators of Abraham J. Arenas based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Abraham J. Arenas. Abraham J. Arenas is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Arenas, Abraham J., et al.. (2024). Existence of Traveling Waves of a Diffusive Susceptible–Infected–Symptomatic–Recovered Epidemic Model with Temporal Delay. Mathematics. 12(5). 710–710. 3 indexed citations
2.
González‐Parra, Gilberto, et al.. (2023). Mathematical modeling of toxoplasmosis with multiple hosts, vertical transmission and cat vaccination. Computational and Applied Mathematics. 42(2). 7 indexed citations
3.
González‐Parra, Gilberto, et al.. (2023). Mathematical Modeling of Toxoplasmosis in Cats with Two Time Delays under Environmental Effects. Mathematics. 11(16). 3463–3463. 1 indexed citations
4.
González‐Parra, Gilberto & Abraham J. Arenas. (2023). Mathematical Modeling of SARS-CoV-2 Omicron Wave under Vaccination Effects. Computation. 11(2). 36–36. 10 indexed citations
5.
Arenas, Abraham J., et al.. (2023). Mathematical Modeling of COVID-19 Dynamics under Two Vaccination Doses and Delay Effects. Mathematics. 11(2). 369–369. 20 indexed citations
6.
González‐Parra, Gilberto, et al.. (2023). Analysis of Within-Host Mathematical Models of Toxoplasmosis That Consider Time Delays. Mathematics. 11(21). 4469–4469.
7.
González‐Parra, Gilberto, et al.. (2022). Mathematical Modeling to Study Optimal Allocation of Vaccines against COVID-19 Using an Age-Structured Population. Axioms. 11(3). 109–109. 14 indexed citations
8.
González‐Parra, Gilberto, et al.. (2022). Mathematical Modeling of Toxoplasmosis Considering a Time Delay in the Infectivity of Oocysts. Mathematics. 10(3). 354–354. 11 indexed citations
9.
González‐Parra, Gilberto, Benito M. Chen‐Charpentier, Abraham J. Arenas, & Miguel Díaz‐Rodríguez. (2022). Mathematical Modeling of Physical Capital Diffusion Using a Spatial Solow Model: Application to Smuggling in Venezuela. Economies. 10(7). 164–164. 7 indexed citations
10.
González‐Parra, Gilberto, et al.. (2021). Modeling and Forecasting Cases of RSV Using Artificial Neural Networks. Mathematics. 9(22). 2958–2958. 5 indexed citations
11.
Arenas, Abraham J., et al.. (2021). Nonlinear dynamics of a new seasonal epidemiological model with age-structure and nonlinear incidence rate. Computational and Applied Mathematics. 40(2). 6 indexed citations
12.
González‐Parra, Gilberto & Abraham J. Arenas. (2021). Nonlinear Dynamics of the Introduction of a New SARS-CoV-2 Variant with Different Infectiousness. Mathematics. 9(13). 1564–1564. 6 indexed citations
13.
Arenas, Abraham J., et al.. (2021). Mathematical Analysis and Numerical Solution of a Model of HIV with a Discrete Time Delay. Mathematics. 9(3). 257–257. 13 indexed citations
14.
González‐Parra, Gilberto & Abraham J. Arenas. (2021). Qualitative analysis of a mathematical model with presymptomatic individuals and two SARS-CoV-2 variants. Computational and Applied Mathematics. 40(6). 16 indexed citations
15.
González‐Parra, Gilberto, Miguel Díaz‐Rodríguez, & Abraham J. Arenas. (2020). Mathematical modeling to design public health policies for Chikungunya epidemic using optimal control. Optimal Control Applications and Methods. 41(5). 1584–1603. 19 indexed citations
16.
González‐Parra, Gilberto, Miguel Díaz‐Rodríguez, & Abraham J. Arenas. (2020). Optimization of the Controls against the Spread of Zika Virus in Populations. Computation. 8(3). 76–76. 8 indexed citations
17.
González‐Parra, Gilberto, et al.. (2017). Positivity and Boundedness of Solutionsfor a Stochastic Seasonal EpidemiologicalModel for Respiratory Syncytial Virus(RSV). SHILAP Revista de lepidopterología. 13(25). 95–121. 4 indexed citations
18.
González‐Parra, Gilberto, et al.. (2015). Analytical-Numerical Solution of a Parabolic Diffusion Equation Under Uncertainty Conditions Using DTM with Monte Carlo Simulations. SHILAP Revista de lepidopterología. 11(22). 49–72. 1 indexed citations
19.
Arenas, Abraham J., Gilberto González‐Parra, & Benito M. Chen‐Charpentier. (2015). Construction of nonstandard finite difference schemes for the SI and SIR epidemic models of fractional order. Mathematics and Computers in Simulation. 121. 48–63. 103 indexed citations
20.
Villanueva, Rafael J., et al.. (2010). Matrix nonstandard numerical schemes for epidemic models. WSEAS Transactions on Mathematics archive. 9(11). 840–850. 3 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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