Yang Hua, Xiaojie Lin, Jiang Liu, Haixia Lu
Abstract:
This article aims to establish the existence of traveling waves for a
predator-prey system with Beddington-DeAngelis functional response, reproductive
Allee effect, and time delay. We investigate the existence of solutions for a system
with two special delay kernels by geometric singular perturbation theory,
invariant manifold theory, and Fredholm orthogonality theory. In addition,
we discuss the asymptotic behaviors of traveling waves with the aid of the asymptotic
theory.
Submitted November 29, 2023. Published April 26, 2024.
Math Subject Classifications: 92D25, 35C07, 35K57, 34D15.
Key Words: Predator-prey system; Allee effect; traveling waves; asymptotic behavior; geometric singular perturbation.
DOI: 10.58997/ejde.2024.33
Show me the PDF file (362 KB), TEX file for this article.
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Yang Hua School of Mathematics and Statistics Jiangsu Normal University Xuzhou 221116, China email: huayangjs0924@163.com |
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Xiaojie Lin School of Mathematics and Statistics Jiangsu Normal University Xuzhou 221116, China email: linxiaojie1973@163.com |
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Jiang Liu School of Mathematics and Statistics Jiangsu Normal University Xuzhou 221116, China email: jiangliu@jsnu.edu.cn |
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Haixia Lu School of Life Sciences Jiangsu Normal University Xuzhou 221116, China email: luhaixia76@126.com |
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