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

Autor:	Zhao, Qing Yang, Xiaojing Wang, Xiwang Cheng, Bo Du, Yuxiao
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	positive periodic solution existence neutral-type time-varying delay
Zdroj:	Mathematics; Volume 11; Issue 12; Pages: 2701
ISSN:	2227-7390
DOI:	10.3390/math11122701
Popis:	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.
Databáze:	OpenAIRE
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