Modeling Wolbachia infection in mosquito population via discrete dynamical models

By Jianshe Yu, Bo Zheng. Journal of difference equations and applications (Print), 2019

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ABSTRACT We formulate discrete dynamical models to study Wolbachia infection persistence by releasing Wolbachia-infected mosquitoes, which display rich dynamics including bistable, semi-stable and globally asymptotically stable equilibria. Our analysis shows a maximal maternal leakage rate threshold, denoted by , such that infected mosquitoes can only persist if it is not exceeded by . When , we find the Wolbachia infection frequency threshold, denoted by , such that the infected mosquitoes can persist provided that the initial infection frequency . For the case when , we find the release rate threshold, denoted by , for , the Wolbachia infection frequency threshold is reduced, and for , the threshold infection frequency is further lowered to 0 which implies that Wolbachia persistence is always successful for any initial infection frequency above 0.

Subfields: Insect Science

View Paper: https://www.semanticscholar.org/paper/337d2350edfeaab126443179fa06b0ad0add56a0