On the Dynamical Behaviors of a Cholera Model with Holling Type II Functional Response

In this paper a mathematical model that describes the flow of Cholera disease in a population isproposed and studied. It is assumed that the disease divided the population into five classes:susceptible individuals (S), asymptomatic infectious individuals (I A) , symptomatic infectiousindividuals (IS ), removal individuals (R) and cholera population (B). The existence, uniqueness andboundedness of the solution of the model are discussed. The local and global stability of the modelis studied. Finally the global dynamics of the proposed model is studied numerically.