Prof. Muhammad Altaf Khan
University of the Free State, Bloemfontein, Free State, South Africa
Specially appointed Professor, School of Health and Environ...
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Academic Career Length
14Years (2013-Present)
(Calculated once Scilit publication data is synced: current year − year of first publication + 1)
Representative Publications
View All Publications1 August 2020 in Alexandria Engineering Journal
Journal Article
Muhammad Altaf KhanAAAbdon Atangana
Abdon Atangana
The present paper describes the mathematical modeling and dynamics of a novel corona virus (2019-nCoV). We describe the brief details of interaction among the bats and unknown hosts, then among the peoples and the infections reservoir (seafood market). The seafood marked are considered the main source of infection when the bats and the unknown hosts (may be wild animals) leaves the infection there. The purchasing of items from the seafood market by peoples have the ability to infect either asymptomatically or symptomatically. We reduced the model with the assumptions that the seafood market has enough source of infection that can be effective to infect people. We present the mathematical results of the model and then formulate a fractional model. We consider the available infection cases for January 21, 2020, till January 28, 2020 and parameterized the model. We compute the basic reproduction number for the data is R0≈2.4829. The fractional model is then solved numerically by presenting many graphical results, which can be helpful for the infection minimization.
3 February 2021 in The European Physical Journal Plus
Journal Article
1 November 2018 in Chaos, Solitons & Fractals
Journal Article
27 November 2021 in Results in Physics
Journal Article
ZSZhong-Hua Shen
Zhong-Hua Shen
YCYu-Ming Chu
Yu-Ming Chu
Muhammad Altaf KhanSMShabbir Muhammad
Shabbir Muhammad
Omar A. Al-HartomyMHM. Higazy
M. Higazy
We are considering a new COVID-19 model with an optimal control analysis when vaccination is present. Firstly, we formulate the vaccine-free model and present the associated mathematical results involved. Stability results for are shown. In addition, we frame the model with the vaccination class. We look at the mathematical results with the details of the vaccine model. Additionally, we are considering setting controls to minimize infection spread and control. We consider four different controls, such as prevention, vaccination control, rapid screening of people in the exposed category, and people who are identified as infected without screening. Using the suggested controls, we develop an optimal control model and derive mathematical results from it. In addition, the mathematical model with control and without control is resolved by the forward–backward Runge–Kutta method and presents the results graphically. The results obtained through optimal control suggest that controls can be useful for minimizing infected individuals and improving population health.
1 November 2018 in Mathematical Biosciences
Journal Article
FAFolashade B. Agusto
Folashade B. AgustoMuhammad Altaf Khan26 June 2018 in The European Physical Journal Plus
Journal Article
About Me
Dr. Muhammad Altaf Khan is an applied mathematician specializing in the qualitative theory of nonlinear differential equations and the application of fractional calculus to epidemiological modeling. He earned his Ph.D. in Applied Mathematics in 2015 and completed a postdoctoral fellowship at the University of the Free State, South Africa. He is currently serving as a Specially Appointed Professor at Korea University, South Korea, and a researcher at UPM.
Dr. Khan’s research focuses on the mathematical modeling of infectious diseases, including dengue fever, COVID-19, tuberculosis, and mpox. His work employs advanced analytical and numerical techniques, particularly fractional-order models, to better understand disease transmission dynamics and inform effective control strategies.
He has published extensively in reputable peer-reviewed journals and actively collaborates with international researchers on interdisciplinary projects at the intersection of mathematics, biology, and medicine. His ongoing work contributes to advancing fractal and fractional approaches in real-world biological and medical systems.