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

Adesoye I. Abioye Department of Mathematical and Computer Sciences, University of Medical Sciences, Ondo City, Ondo State, Nigeria
Olumuyiwa J. Peter Department of Mathematical and Computer Sciences, University of Medical Sciences, Ondo City, Ondo State, Nigeria; Department of Epidemiology and Biostatistics, School of Public Health, University of Medical Sciences, Ondo City, Ondo State, Nigeria
Festus A. Oguntolu Department of Mathematics, Federal University of Technology, Minna, Niger State, Nigeria
Tawakalt A. Ayoola Department of Mathematical Sciences, Osun State University, Osogbo, Osun State, Nigeria
Asimiyu O. Oladapo Department of Mathematical Sciences, Osun State University, Osogbo, Osun State, Nigeria

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.

Published

2023-12-31

Issue

Vol 23 No 4 (2023): Advances in Systems Science and Applications

Section

Articles