Muhammad Farhan was born in 1992 in Mardan, Pakistan. He is a Pakistani mathematician and postdoctoral researcher renowned for his contributions to applied mathematics, with a particular focus on mathematical modeling and the dynamics of infectious diseases. Farhan graduated with distinction from the M.Phil. program in Mathematics at Abdul Wali Khan University, Mardan, in 2019, and subsequently pursued his Ph.D. in Mathematics at the same institution, completing it in 2024.

In 2024, Farhan began his postdoctoral research at Yangzhou University, China, where he continues to advance his research in applied mathematics. His Research work, has been published in prestigious international journals and has provided significant insights into the global dynamics of various infectious diseases.

Publications

Ø  Farhan, M., Ling, Z., Ding, J., Shah, Z. and Dobrotae, R., 2025. A novel fractional computational neural framework for analyzing cancer model under chemotherapy drug. Computer Methods in Biomechanics and Biomedical Engineering, pp.1-19.

Ø  Farhan, M., Ling, Z., Ullah, S., Mostafa, A.M. and AlQahtani, S.A., 2025. A novel intelligent framework for assessing within-host transmission dynamics of Chikungunya virus using an unsupervised stochastic neural network approach. Computational Biology and Chemistry, 117, p.108380.

Ø  Farhan, M., Ling, Z., Ullah, S., Alsubhi, M., Asiri, M., & Riaz, M. B. (2024). A novel physics-informed neural network approach to assess the impact of double-dose vaccination on measles transmission. The European Physical Journal Plus, 139(12), 1-20.

Ø  Khan, M., Farhan, M., Zheng, Z., Shah, Z., Alshehri, M. H., & Antonescu, E. (2024). Mathematical analysis of a three-strain model for dengue with vaccination. Physica Scripta, 99(12), 125243.

Ø  Farhan, M., Ling, Z., Shah, Z., Islam, S., Alshehri, M. H., & Antonescu, E. (2024). A multi-layer neural network approach for the stability analysis of the Hepatitis B model. Computational Biology and Chemistry,108256.

Ø   Farhan, M., Shah, Z., Ling, Z., Shah, K., Abdeljawad, T., Islam, S., & Garalleh, H. A. (2024). Global dynamics and computational modeling for analyzing and controlling Hepatitis B: A novel epidemic approach. PLOS ONE, 19(6), e0304375.

Ø   Farhan, M., Shah, Z., Alzahrani, E., Bonyah, E., Islam, S., & Aljuaydi, F. (2024). A fractional modeling approach to a new Hepatitis B model in light of asymptomatic carriers, vaccination, and treatment. Scientific African,e02127.

Ø  Farhan, M., Shah, Z., Jan, R., Islam, S., Alshehri, M. H., & Ling, Z. (2023). A fractional modeling approach for the transmission dynamics of measles with double-dose vaccination. Computer Methods in Biomechanics and Biomedical Engineering,1-18.

Ø  Farhan, M., Shah, Z., Jan, R., & Islam, S. (2023). A fractional modeling approach of Buruli ulcer in Possum mammals. Physica Scripta, 98(6), 065219.

Ø  Chu, Y. M., Farhan, M., Khan, M. A., Alshahrani, M. Y., Muhammad, T., & Islam, S. (2021). Mathematical modeling and stability analysis of Buruli ulcer in Possum mammals. Results in Physics, 27, 104471.

Ø  Khan, M. A., Farhan, M., Islam, S., & Bonyah, E. (2019). Modeling the transmission dynamics of avian influenza with saturation and psychological effect. Discrete & Continuous Dynamical Systems-S, 12(3), 455.

Ø Li, S., Khan, A.A., Miao, W., Farhan, M., Ullah, S., AlQahtani, S.A. and Mumtaz, A., 2025. A novel intelligent computing approach for modeling the population dynamics of monkeypox infection. The European Physical Journal Plus, 140(5), pp.1-37.

Ø  Khan, M.A., Ullah, S. and Farhan, M., 2019. The dynamics of Zika virus with Caputo fractional derivative. AIMS Math, 4(1), pp.134-146.

Ø  Khan, M.A., Ullah, S., Khan, Y. and Farhan, M., 2020. Modeling and scientific computing for the transmission dynamics of avian influenza with half-saturated incidence. International Journal of Modeling, Simulation, and Scientific Computing, 11(04), p.2050035.

Ø  Khan, Muhammad Altaf, Sajjad Ullah, Saif Ullah, and Muhammad Farhan. "Fractional order SEIR model with generalized incidence rate." AIMS Math 5, no. 4 (2020): 2843-2857.

Ø Khan, Muhammad Altaf, Muhammad Ismail, Saif Ullah, and Muhammad Farhan. "Fractional order SIR model with generalized incidence rate." AIMS Mathematics 5, no.3(2020): 1856-1880.

Ø Ullah, Nekmat, Zahir Shah, Rashid Jan, Narcisa Vrinceanu, Muhammad Farhan, and Elisabeta Antonescu. "Modeling the non-integer dynamics of a vector-borne infection with nonlocal and nonsingular kernel." Scientific Reports 15, no. 1 (2025): 6262.

Ø Shah, Z., Ullah, N., Jan, R., Alshehri, M.H., Vrinceanu, N., Antonescu, E. and Farhan, M., 2025. Existence and Sensitivity Analysis of a Caputo-Fabirizo Fractional Order Vector-Borne Disease model. European Journal of Pure and Applied Mathematics, 18(2), pp.5687-5687.