Malaysian Journal of Mathematical Sciences, September 2025, Vol. 19, No. 3
Fractional Epidemic Model of Tuberculosis Disease with Media Impact on The Migrants and Seasonal Farm Workers
Nawaz, R., Nik Long, N. M. A., Shah, K., and Abdeljawad, T.
Corresponding Email: nmasri@upm.edu.my
Received date: 30 January 2025
Accepted date: 15 April 2025
Abstract:
The impact of media awareness can reduce the number of tuberculosis-infected individuals to a limited extent. This paper presents a non-integer mathematical model of tuberculosis disease using the Caputo operator. The primary objective of this study is to investigate the impact of media awareness on tuberculosis-infected migrants and seasonal farm workers. The qualitative analysis of the existence and uniqueness of the solutions, basic reproduction number ${\bf{R_{0}}}$, disease free equilibrium point, sensitivity analysis, and the Hyers-Ulam stability of the model are also examined. We provide numerical simulations to illustrate the model's behavior for various fractional orders. In our findings, ${\bf{R_{0}}}=0.5473$ demonstrates that when more infected migrants and seasonal farm workers seek preventative treatment and awareness about tuberculosis disease, the infection rate will rapidly decline in the respective region.
Keywords: existence and uniqueness criteria; Hyers-Ulam stability; modified Euler method
