Abstract

In this paper, we analyzed dynamics of malaria disease by a compartment model involving ordinary differential equations for the human and mosquito populations. An equivalent system is obtained, which has two equilibriums: a disease-free equilibrium and an endemic equilibrium. The stability of these two equilibriums is controlled by the basic reproduction number R₀. In this model the disease-free equilibrium state is stable if R₀<1 and if R₀>1, the endemic equilibrium stable. The analytical predictions are conformed by numerical simulation and graphical results.

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