Multiple Periodicity in a Predator–Prey Model with Prey Refuge

Multiple Periodicity in a Predator–Prey Model with Prey Refuge

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...

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Bibliographic Details
Published in:Mathematics (Basel) Vol. 10; no. 3; p. 421
Main Authors: Lu, Weijie, Xia, Yonghui
Format: Journal Article
Language:English
Published: Basel MDPI AG 01-01-2022
Subjects:
non-monotone functional response
periodic solutions
Population
Predators
prey refuge
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Summary: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 Lv=λNv, we prove the existence of multiple periodic solutions. Finally, an example demonstrates the feasibility of our main results.
ISSN:2227-7390
2227-7390
DOI:10.3390/math10030421