Analysis of model for the transmission dynamics of Zika with sterile insect technique

One of the major reason for the persistence of Zika and other vector borne diseases has been lack of effective mosquito control techniques. Sterile insect technique (SIT) is a non polluting biological method of mosquito control, where sterile mosquitoes are predominantly non reproductive. We present a new deterministic model for the transmission dynamics of Zika, by incorporating both human and mosquito population, with fraction of mosquitoes being sterilized. We consider both aquatic and non-aquatic stages of mosquitoes, so as to evaluate the effect of mosquito control in the transmission of the disease. We computed the basic reproduction number ($R_{0}$), and theoretically analysed the stability properties of the disease-free equilibrium (DFE) and the endemic-equilibrium (EE). In addition, effect of human-human transmission, and other important parameters were assessed. Numerical simulations to support the results will be presented.