Year: 2023
Author: Xiao Zhao, Ruizhi Yang
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 1 : pp. 1–23
Abstract
In this paper, we study a delayed diffusive predator-prey model with fear effect and Holling II functional response. The stability of the positive equilibrium is investigated. We find that time delay can destabilize the stable equilibrium and induce Hopf bifurcation. Diffusion may lead to Turing instability and inhomogeneous periodic solutions. Through the theory of center manifold and normal form, some detailed formulas for determining the property of Hopf bifurcation are presented. Some numerical simulations are also provided.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2023.1
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 1 : pp. 1–23
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 23
Keywords: Delay Diffusion Predator-prey Turing instability Hopf bifurcation.