Fractional epidemic model of tuberculosis disease with media impact on the migrants and seasonal farm workers

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 R0, 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, R0 = 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.

Text 127063.pdf - Published Version Download (3MB) Official URL or Download Paper: https://mjms.upm.edu.my/lihatmakalah.php?kod=2025/...

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