Existence and Uniqueness of Nontrivial Periodic Solutions to a Discrete Switching Model
1
Guangzhou Center for Applied Mathematics, Guangzhou University, Guangzhou 510006, China
2
College of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, China
*
Author to whom correspondence should be addressed.
Academic Editor: Juan Benigno Seoane-Sepúlveda
Mathematics 2021, 9(19), 2377; https://doi.org/10.3390/math9192377
Received: 2 September 2021
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Revised: 22 September 2021
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Accepted: 22 September 2021
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Published: 25 September 2021
(This article belongs to the Special Issue Functional Differential Equations and Epidemiological Modelling)
To control the spread of mosquito-borne diseases, one goal of the World Mosquito Program’s Wolbachia release method is to replace wild vector mosquitoes with Wolbachia-infected ones, whose capability of transmitting diseases has been greatly reduced owing to the Wolbachia infection. In this paper, we propose a discrete switching model which characterizes a release strategy including an impulsive and periodic release, where Wolbachia-infected males are released with the release ratio
Keywords:
discrete switching model; Wolbachia; the infection frequency; mosquito population; existence and uniqueness; periodic solutions
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MDPI and ACS Style
Chang, L.; Shi, Y.; Zheng, B. Existence and Uniqueness of Nontrivial Periodic Solutions to a Discrete Switching Model. Mathematics 2021, 9, 2377. https://doi.org/10.3390/math9192377
AMA Style
Chang L, Shi Y, Zheng B. Existence and Uniqueness of Nontrivial Periodic Solutions to a Discrete Switching Model. Mathematics. 2021; 9(19):2377. https://doi.org/10.3390/math9192377
Chicago/Turabian StyleChang, Lijie, Yantao Shi, and Bo Zheng. 2021. "Existence and Uniqueness of Nontrivial Periodic Solutions to a Discrete Switching Model" Mathematics 9, no. 19: 2377. https://doi.org/10.3390/math9192377
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