Global Stability and Sensitivity Analysis of Basic Reproduction Number of a Malaria Model

Abstract

This paper explores a mathematical model of malaria, focusing on the basic reproduction number R₀ and employing Lyapunov functions to assess the global stability of disease-free and endemic equilibria. Sensitivity analysis of key parameters is conducted to evaluate their impact on disease control. The results indicate an active malaria outbreak with decreasing human classes signifying disease progression and increasing mosquito classes suggesting heightened transmission risk. Effective control measures, including mosquito control and treatment of infected individuals, are essential to mitigate the outbreak.