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 solutions to the operator equation Lv=lambda Nv, we prove the existence of multiple periodic solutions. Finally, an example demonstrates the feasibility of our main results.

Automated summary

This paper investigates the existence of multiple periodic solutions in a delayed prey-predator model with a refuge and a non-monotone functional response. By employing Mawhin's coincidence degree and nontrivial estimation techniques, the authors prove the existence of multiple periodic solutions and provide an example to demonstrate the feasibility of their main results.