Work

Fractional Epidemic Model of Tuberculosis Disease with Media Impact on The Migrants and Seasonal Farm Workers

Year: 2025

Type: article

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 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.

Source: Malaysian Journal of Mathematical Sciences

DOI: 10.47836/mjms.19.3.18

Authors: R. Nawaz, N. M. A. Nik Long, K. Shah, T. Abdeljawad

Institutions: Universiti Putra Malaysia, Prince Sultan University

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

SDG: Good health and well-being

Open Access status: bronze

Funder: Prince Sultan University