Dynamics of a Vector-Borne model with direct transmission and age of infection

In this paper we the study of dynamics time since infection structured vector born model with direct transmission. We use standard incidence term to new infections. analyze corresponding system partial differential equation and obtain an explicit formula for basic reproduction number ℜ 0 . The diseases-free equilibrium is locally globally asymptotically stable whenever less than one, < 1. Endemic exists when > disease will persist at endemic greater one.