Multiple Periodicity in a Predator–Prey Model with Prey Refuge

Weijie Lu and Yonghui Xia
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Weijie Lu: Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China
Yonghui Xia: Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China

Mathematics, 2022, vol. 10, issue 3, 1-13

Abstract: We consider a delayed prey–predator model incorporating a refuge with a non-monotone functional response. It is supposed that prey can live in the predatory region and prey refuge, respectively. Based on Mawhin’s coincidence degree and nontrivial estimation techniques for a priori bounds of unknown solutions to the operator equation L v = λ N v , we prove the existence of multiple periodic solutions. Finally, an example demonstrates the feasibility of our main results.

Keywords: periodic solutions; prey refuge; non-monotone functional response (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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