Stage-structured discrete-time models for interacting wild and sterile mosquitoes with beverton-holt survivability

Abstract

The sterile insect technique (SIT) is an effective weapon to prevent transmission of mosquito-borne diseases, in which sterile mosquitoes are released to reduce or eradicate the wild mosquito population. To study the impact of the sterile insect technique on the disease transmission, we formulate stage-structured discrete-time models for the interactive dynamics of the wild and sterile mosquitoes using Beverton-Holt type of survivability, based on difference equations. We incorporate different strategies for releasing sterile mosquitoes, and investigate the model dynamics. Numerical simulations are also provided to demonstrate dynamical features of the models.

Keywords: beverton-holt survivability; discrete-time models; mathematical modeling; numerical simulations; sterile mosquitoes; vector-borne diseases.