Modeling And Control For The Transmission Of Malaria Under A New Way Of Vaccination

In this paper, two transmission models of malaria under a new way of vaccination are formulated and analyzed. We consider two kinds of models. For the model with standard incidence, explicit expressions of the basic reproduction number R0(ψ) and the effective reproduction number R(ψ) are obtained, where R0(ψ)1; and a unique endemic equilibrium exists if R0(ψ)>1 . For the model with mass action, similarly, the explicit expression of the basic reproduction number R0m(ψ) is obtained. As can be seen that the disease-free equilibrium is locally asymptotically stable if R0m(ψ)<1, and globally asymptotically stable if R0m(0)<1. The existence and stability of the unique endemic equilibrium are also investigated. Finally, numerical simulations are given to illustrate the theoretical results obtained in this paper and sensitivity analysis is also given.