Dynamics of a delayed prey-predator model with Hattaf-Yousfi functional response

Abstract

In this paper, we propose a delayed prey-predator model with Hattaf-Yousfi functional response. We first show that our proposed model is mathematically and ecologically well-posed. The dynamical behaviors of the model are studied by establishing the local stability of equilibria and the existence of Hopf bifurcation. Furthermore, the theoretical results are validated by numerical simulations.