A discrete time west nile virus transmission model with optimal bird- and vector-specific controls

Abstract

A discrete-time model describing the west nile virus transmission among the mosquito, wild bird, and domestic bird populations is constructed. The expressions for the basic reproduction number R0 and the disease-free fixed point of the model are computed. The local stability of the disease-free fixed point is established based on R0. Optimal control theory is used to devise the most effective administration profile of mosquito larvicide, mosquito adulticide and domestic bird-protection in controlling the virus transmission among the mosquito – wild bird – domestic bird community.