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Malaria is a life threatening blood disease which is caused by parasites transmitted to humans through the bite of the Anopheles mosquito. An infected mosquito bites a human and transmits the parasites which multiply in the host’s liver before infecting and destroying red blood cells. In this research work, the model equations were obtained using several known clinical and biological information with the human population subdivided into susceptible, infected, recovered and therapy classes while the vector population is divided into the susceptible and infected classes. The equilibrium states were obtained and the endemic state analysed for stability. The result shows that the non-zero equilibrium state will be stable if F(0)G ′ (0) > O and unstable when otherwise.

Stability Analysis of the Endemic Equilibrium State on the Spread of Malaria Using Bellman and Cooke’s Theorem