TY - JOUR
T1 - Dynamical Property Analysis of a Delayed Diffusive Predator-Prey Model with Fear Effect
AU - Zhao , Xiao
AU - Yang , Ruizhi
JO - Journal of Nonlinear Modeling and Analysis
VL - 1
SP - 1
EP - 23
PY - 2023
DA - 2023/08
SN - 5
DO - http://doi.org/10.12150/jnma.2023.1
UR - https://global-sci.org/intro/article_detail/jnma/21914.html
KW - Delay, Diffusion, Predator-prey, Turing instability, Hopf bifurcation.
AB - <p style="text-align: justify;">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.</p>