Positive Periodic Solution for Neutral-Type Integral Differential Equation Arising in Epidemic Model

Qing Yang, Xiaojing Wang, Xiwang Cheng, Bo Du () and Yuxiao Zhao
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Qing Yang: School of Mathematics and Statistics, Huaiyin Normal University, Huaian 223300, China
Xiaojing Wang: School of Mathematics and Statistics, Huaiyin Normal University, Huaian 223300, China
Xiwang Cheng: School of Mathematics and Statistics, Huaiyin Normal University, Huaian 223300, China
Bo Du: School of Mathematics and Statistics, Huaiyin Normal University, Huaian 223300, China
Yuxiao Zhao: School of Mathematics and Information Science, Shandong Technology and Business University, Yantai 264005, China

Mathematics, 2023, vol. 11, issue 12, 1-13

Abstract: This paper is devoted to investigating a class of neutral-type integral differential equations arising in an epidemic model. By using Mawhin’s continuation theorem and the properties of neutral-type operators, we obtain the existence conditions for positive periodic solutions of the considered neutral-type integral differential equation. Compared with previous results, the existence conditions in this paper are less restricted, thus extending the results of the existing literature. Finally, two examples are given to show the effectiveness and merits of the main results of this paper. Our results can be used to obtain the existence of a positive periodic solution to the corresponding non-neutral-type integral differential equation.

Keywords: positive periodic solution; existence; neutral-type; time-varying delay (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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