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Ndendya, J.Z., Leandry, L. and Kipingu, A.M. (2023) A Next-Generation Matrix Approach Using Routh-Hurwitz Criterion and Quadratic Lyapunov Function for Modeling Animal Rabies with Infective Immigrants. Healthcare Analytics, 4, Article ID: 100260.
https://doi.org/10.1016/j.health.2023.100260

has been cited by the following article:

• 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.