The paper presents a mathematical model of malaria transmission. The model is a form of derived Kagunda model [10]. We study the impact of using mosquito bed net for susceptible population in the dynamics of malaria spreading. We add a compartment of recovery and take account of the death rate related to the disease. We determine the basic reproduction number by using the next generation matrix method. We also determine the disease free equilibrium point and establish the global and asymptotical stability of this point if R₀ < 1.

Numerical simulations are performed to show the impact of using mosquito bed net in the control of malaria transmission.

population dynamics, epidemiology, mathematical modeling, numerical simulation, numerical methods, basic reproduction number, age structure.

Received: December 2, 2020; Accepted: December 19, 2020; Published: January 21, 2021

How to cite this article: Yaou Jagaya, Mahamane Oumarou Abba, Mahaman Nouri Yahaya Alassane and Bisso Saley, Modelisation and Numerical Simulations of a Malaria Disease Model Transmission, Far East Journal of Dynamical Systems 33(1) (2021), 39-57. DOI: 10.17654/DS033010039

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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