期刊
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS
卷 25, 期 11, 页码 1549-1567出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/10236198.2019.1669578
关键词
Wolbachia; cytoplasmic incompatibility; maternal transmission leakage rate; the release threshold; unstable equilibria
资金
- National Natural Science Foundation of China [11971127, 11826302, 11631005, 11871174]
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.
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