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- Title
Multiple Periodicity in a Predator–Prey Model with Prey Refuge.
- Authors
Lu, Weijie; Xia, Yonghui
- 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.
- Subjects
OPERATOR equations; LOTKA-Volterra equations; COINCIDENCE; A priori
- Publication
Mathematics (2227-7390), 2022, Vol 10, Issue 3, p421
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math10030421