Four positive equilibria in a model for sterile and wild mosquito populations

Abstract

A well proposed ODE system that models the interactive dynamics of sterile and wild mosquito populations with a saturated release rate of sterile mosquitoes can have up to four positive equilibria, but only two positive equilibria have been confirmed to exist in the literature. In this note we establish that for a range of parameters this system does have four positive equilibria. We also obtain the stability of these equilibria.