Global Dynamics for Competition between Two Wolbachia Strains with Bidirectional Cytoplasmic Incompatibility

Qiming Huang, Lijie Chang, Zhaowang Zhang and Bo Zheng ()
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Qiming Huang: College of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, China
Lijie Chang: College of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, China
Zhaowang Zhang: College of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, China
Bo Zheng: College of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, China

Mathematics, 2023, vol. 11, issue 7, 1-21

Abstract: Releasing Wolbachia -infected mosquitoes to suppress or replace wild vector mosquitoes has been carried out in 24 countries worldwide, showing great promise in controlling mosquitoes and mosquito-borne diseases. To face the instability of Wolbachia infection in different environments during the area-wide application, we should consider the overlapping of two Wolbachia strains. In this case, bidirectional cytoplasmic incompatibility occurs, which results in mating partners infected with exclusive Wolbachia strains producing inviable offspring. To determine the better Wolbachia candidate for release, we develop an ordinary differential equation model to study the global dynamics for competition between two Wolbachia strains. Our theoretical results on the sharp estimate of stable curves completely determine the fate of the two Wolbachia strains, which help choose appropriate strains for release.

Keywords: mosquito-borne diseases; stable curve; planar system; stability analysis; complete or incomplete cytoplasmic incompatibility (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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