Global Stability and Sensitivity Analysis of Basic Reproduction Number of a Malaria Model
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Date
2023-12-31
Journal Title
Journal ISSN
Volume Title
Publisher
Advances in Systems Sciences and Applications (ASSA)
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.
Description
Keywords
malaria, sensitivity, global stability analysis, numerical simulations, Lyaponov function
Citation
A. I. Abioye, O. J. Peter, F. A. Oguntolu, T. A. Ayoola & A. O. Oladapo. (2023). Global Stability and Sensitivity Analysis of Basic Reproduction Number of a Malaria Model. Adv. Syst. Sci. Appl., 04:90-103. https://doi.org/10.25728/assa.2023.23.04.1404