A Delayed Discrete Model and Control for Malaria Transmission

A discrete mathematical model with time delays for the transmission of malaria is established. The basic reproductive number R-0 of the model is defined. Numerical simulations are given to show that the disease free equilibrium is stable when R-0 < 1 and the unique positive equilibrium is locally asymptotically stable when R-0 > 1. The elasticity of the basic reproductive number with respect to each parameters is calculated respectively. According to the practical meaning of the parameters, we find that decreasing the bites of a single mosquito on human per day is the better theoretical control measure at present.