Year: 2022
Author: Ceyu Lei, Xiaoling Han
Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 1 : pp. 92–102
Abstract
In this paper, by using the Krasnoselskii’s fixed-point theorem, we study the existence of positive periodic solutions of the following single-species model with delay weak kernel and cycle mortality: $$x'(t) = rx(t)[1 − \frac{1}{K}\int^t_{−∞}αe^ {−α(t−s)} x(s)ds] − a(t)x(t),$$ and get the necessary conditions for the existence of positive periodic solutions. Finally, an example and numerical simulation are used to illustrate the validity of our results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2022.92
Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 1 : pp. 92–102
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Positive periodic solutions Single-species model Delay Cycle mortality.