Mathematical Analysis for Malaria Model in Constant Environment

Abstract

Abstract In this thesis a mathematical model for malaria disease has been studied. The model neglected the incubation period for human and any possible variations over the time. We proved positivity and boundedness of solutions, furthermore , we proved the existence of disease free-equilibrium, and we explain the number of disease freeequilibriurn. We present condition for which these equilibria are sta— ble. Also, we compute the basic reproduction number using the next generation matrix approach. The analytical results are verified and justified numerically.