TITLE:
Modelling Foot and Mouth Disease in the Context of Active Immigrants
AUTHORS:
Issa Shabani Mfinanga, Nyimvua Shaban, Theresia Marijani
KEYWORDS:
Next-Generation Matrix Approach, Routh-Hurwitz, Quadratic Lyapunov Function, Active Immigrants, Reproduction Number, Analysis
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.12 No.1,
January
26,
2024
ABSTRACT: This study employs mathematical modeling to analyze the impact of active immigrants on Foot and Mouth Disease (FMD) transmission dynamics. We calculate the reproduction number (R0) using the next-generation matrix approach. Applying the Routh-Hurwitz Criterion, we establish that the Disease-Free Equilibrium (DFE) point achieves local asymptotic stability when R0 α1 and α2) are closely associated with reduced susceptibility in animal populations, underscoring the link between immigrants and susceptibility. Furthermore, our findings emphasize the interplay of disease introduction with population response and adaptation, particularly involving incoming infectious immigrants. Swift interventions are vital due to the limited potential for disease establishment and rapid susceptibility decline. This study offers crucial insights into the complexities of FMD transmission with active immigrants, informing effective disease management strategies.