THE DIFFUSIVE MODEL FOR AEDES AEGYPTI MOSQUITO ON A PERIODICALLY EVOLVING DOMAIN

摘要

This paper deals with a reaction-diffusion model on a periodically and isotropically evolving domain in order to explore the diffusive dynamics of Aedes aegypti mosquito, where we divide it into two sub-populations: the winged population and an aquatic form. The spatial-temporal risk index R-0 (rho) depending on the domain evolution rate rho(t) as well as its analytical properties is investigated. The long-time behaviors of the periodic solutions under the condition R-0 (rho) 1 and R-0 (rho) = 1 are explored, respectively. Moreover, we consider the specific case where rho(t) 1 to better understand the impact of the periodic evolution rate on the persistence and extinction of Aedes aegypti mosquito. Numerical simulations further verify our analytical results that the periodic domain evolution has a significant impact on the dispersal of Aedes aegypti mosquito.