TY - JOUR
T1 - Hopf Bifurcation Analysis of a Host-Generalist Parasitoid Model with Diffusion Term and Time Delay
AU - Liu , Zijun
AU - Yang , Ruizhi
JO - Journal of Nonlinear Modeling and Analysis
VL - 3
SP - 447
EP - 463
PY - 2022
DA - 2022/06
SN - 3
DO - http://doi.org/10.12150/jnma.2021.447
UR - https://global-sci.org/intro/article_detail/jnma/20677.html
KW - Delay, Diffusion, Turing instability, Hopf bifurcation.
AB - <p style="text-align: justify;">In this paper, we studied a delayed host-generalist parasitoid model
with Holling II functional response and diffusion term. The Turing instability
and local stability are studied. The existence of Hopf bifurcation is investigated, and some explicit formulas for determining the bifurcation direction and
the stability of the bifurcating periodic solution are derived by the theory of
center manifold and normal form method. Some numerical simulations are
carried out.</p>