Muhammad Rafiq

4.7k total citations · 2 hit papers
280 papers, 3.7k citations indexed

About

Muhammad Rafiq is a scholar working on Modeling and Simulation, Public Health, Environmental and Occupational Health and Statistical and Nonlinear Physics. According to data from OpenAlex, Muhammad Rafiq has authored 280 papers receiving a total of 3.7k indexed citations (citations by other indexed papers that have themselves been cited), including 147 papers in Modeling and Simulation, 137 papers in Public Health, Environmental and Occupational Health and 44 papers in Statistical and Nonlinear Physics. Recurrent topics in Muhammad Rafiq's work include Mathematical and Theoretical Epidemiology and Ecology Models (133 papers), Fractional Differential Equations Solutions (85 papers) and COVID-19 epidemiological studies (82 papers). Muhammad Rafiq is often cited by papers focused on Mathematical and Theoretical Epidemiology and Ecology Models (133 papers), Fractional Differential Equations Solutions (85 papers) and COVID-19 epidemiological studies (82 papers). Muhammad Rafiq collaborates with scholars based in Pakistan, Saudi Arabia and Türkiye. Muhammad Rafiq's co-authors include Ali Raza, Nauman Ahmed, Nauman Raza, Dumitru Bǎleanu, Adil Jhangeer, Muhammad Shoaib Arif, Muhammad Sajid Iqbal, Ali Akgül, Abdul Ghaffar and Ilyas Khan and has published in prestigious journals such as SHILAP Revista de lepidopterología, PLoS ONE and Scientific Reports.

In The Last Decade

Muhammad Rafiq

252 papers receiving 3.4k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Dynamic study of bifurcation, chaotic behavior and multi-soliton profiles for the system of shallow water wave equations with their stability

2023 88 citations Muhammad Rafiq, Nauman Raza et al. Chaos Solitons & Fractals profile →
Nonlinear dynamics of the generalized unstable nonlinear Schrödinger equation: a graphical perspective

2023 77 citations Muhammad Rafiq, Nauman Raza et al. profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Muhammad Rafiq Pakistan	31	1.9k	1.4k	974	361	298	280	3.7k
H. T. Banks United States	39	616 0.3×	623 0.4×	543 0.6×	255 0.7×	136 0.5×	344	6.0k
Muhammad Altaf Khan Pakistan	49	4.8k 2.5×	3.6k 2.5×	589 0.6×	583 1.6×	191 0.6×	198	6.8k
Saeed Islam Pakistan	59	2.2k 1.2×	989 0.7×	453 0.5×	205 0.6×	86 0.3×	425	11.5k
Ali Akgül Türkiye	44	5.5k 2.9×	1.4k 1.0×	2.8k 2.8×	165 0.5×	273 0.9×	664	10.5k
Huaiping Zhu Canada	34	2.0k 1.1×	3.0k 2.1×	414 0.4×	1.3k 3.7×	120 0.4×	160	4.3k
Ezio Venturino Italy	33	1.2k 0.6×	2.8k 2.0×	145 0.1×	2.3k 6.4×	244 0.8×	262	4.1k
Vincenzo Capasso Italy	25	2.1k 1.1×	2.2k 1.5×	249 0.3×	1.3k 3.5×	59 0.2×	128	3.7k
Linda J. S. Allen United States	37	2.3k 1.2×	3.1k 2.2×	436 0.4×	1.9k 5.3×	312 1.0×	128	5.2k
Ronald E. Mickens United States	37	3.0k 1.6×	1.7k 1.2×	1.2k 1.3×	582 1.6×	57 0.2×	243	6.0k
Muhammad Farman Pakistan	27	1.8k 0.9×	1.0k 0.7×	402 0.4×	113 0.3×	82 0.3×	215	2.8k

Countries citing papers authored by Muhammad Rafiq

Since Specialization

Citations

This map shows the geographic impact of Muhammad Rafiq'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 Muhammad Rafiq with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Muhammad Rafiq more than expected).

Fields of papers citing papers by Muhammad Rafiq

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Muhammad Rafiq. 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 Muhammad Rafiq. The network helps show where Muhammad Rafiq may publish in the future.

Co-authorship network of co-authors of Muhammad Rafiq

This figure shows the co-authorship network connecting the top 25 collaborators of Muhammad Rafiq. A scholar is included among the top collaborators of Muhammad Rafiq 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 Muhammad Rafiq. Muhammad Rafiq is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Rafiq, Muhammad, et al.. (2025). Periodic breather waves, stripe-solitons and interaction solutions for the (3+1)-dimensional variable-coefficient Kadomtsev–Petviashvili-like equation. Chaos Solitons & Fractals. 194. 116212–116212. 9 indexed citations

Rafiq, Muhammad, Zafar Iqbal, Nauman Ahmed, et al.. (2025). Stochastic fractional order model for the computational analysis of computer virus. Scientific Reports. 15(1). 33951–33951.

Rafiq, Muhammad, et al.. (2025). Arthritis cannot break my spirit: functional disability, social support and life orientation in patients with rheumatoid arthritis. Anaesthesia Pain & Intensive Care. 29(1). 54–60. 1 indexed citations

Rafiq, Muhammad, Nauman Raza, Adil Jhangeer, & Ahmed M. Zidan. (2024). Qualitative analysis, exact solutions and symmetry reduction for a generalized (2＋1)-dimensional KP–MEW-Burgers equation. Chaos Solitons & Fractals. 181. 114647–114647. 23 indexed citations

VanScoy, Amy & Muhammad Rafiq. (2024). Strong service orientations and fostering self-sufficiency: How librarians approach reference work in Lahore, Pakistan. Journal of Librarianship and Information Science. 57(4). 1130–1140.

Raza, Ali, Nauman Ahmed, Muhammad Rafiq, et al.. (2024). Mathematical modeling of Ebola using delay differential equations. Modeling Earth Systems and Environment. 10(5). 6309–6322. 6 indexed citations

Raza, Ali, et al.. (2024). Computer modeling: A gateway to novel advancements in solving real-life problems. Biomedical Signal Processing and Control. 95. 106414–106414. 1 indexed citations

Rafiq, Muhammad, et al.. (2024). Treatment and delay control strategy for a non-linear rift valley fever epidemic model. AIP Advances. 14(11). 8 indexed citations

Alfwzan, Wafa F., Ali Raza, Nauman Ahmed, et al.. (2024). Nonstandard Computational and Bifurcation Analysis of the Rabies Epidemic Model. Journal of Mathematics. 2024(1). 1 indexed citations

10.

Ahmed, Nauman, Ali Akgül, Y. S. Hamed, et al.. (2024). Analysis of a diffusive chemical reaction model in three space dimensions. Numerical Heat Transfer Part B Fundamentals. 86(11). 3678–3695.

11.

Rafiq, Muhammad, et al.. (2023). PENERAPAN RUANG LINGKUP PEMBELAJARAN IPS DI SEKOLAH DASAR. 2(3). 188–193. 3 indexed citations

12.

Butt, Azhar Iqbal Kashif, et al.. (2023). Computationally efficient optimal control analysis for the mathematical model of Coronavirus pandemic. Expert Systems with Applications. 234. 121094–121094. 28 indexed citations

13.

Alfwzan, Wafa F., Dumitru Bǎleanu, Ali Raza, Muhammad Rafiq, & Nauman Ahmed. (2023). Dynamical analysis of a class of SEIR models through delayed strategies. AIP Advances. 13(7). 4 indexed citations

14.

Rafiq, Muhammad. (2023). Improving Quantitative and Qualitative Characteristics of Wheat (<i>Triticum aestivum</i> L.) through Nitrogen Application under Semiarid Conditions. Phyton. 92(4). 1001–1017. 22 indexed citations

15.

Akgül, Ali, M. A. Rehman, Nauman Ahmed, et al.. (2023). Analysis of a Modified System of Infectious Disease in a Closed and Convex Subset of a Function Space with Numerical Study. Axioms. 12(1). 79–79. 1 indexed citations

16.

Iqbal, Zafar, et al.. (2022). Analytical and Numerical Boundedness of a Model with Memory Effects for the Spreading of Infectious Diseases. Symmetry. 14(12). 2540–2540. 4 indexed citations

17.

Ahmed, Nauman, Waleed Adel, Fahd Jarad, et al.. (2022). Structure Preserving Numerical Analysis of Reaction-Diffusion Models. Journal of Function Spaces. 2022. 1–18. 1 indexed citations

18.

Ahmed, Nauman, et al.. (2022). A dynamically consistent computational method to solve numerically a mathematical model of polio propagation with spatial diffusion. Computer Methods and Programs in Biomedicine. 218. 106709–106709. 3 indexed citations

19.

Raza, Ali, et al.. (2021). Breakdown of a Nonlinear Stochastic Nipah Virus Epidemic Models through Efficient Numerical Methods. Entropy. 23(12). 1588–1588. 19 indexed citations

20.

Ahmed, Nauman, Mubasher Ali, Dumitru Bǎleanu, Muhammad Rafiq, & M. A. Rehman. (2019). Numerical analysis of diffusive susceptible-infected-recovered epidemic model in three space dimension. Chaos Solitons & Fractals. 132. 109535–109535. 5 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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