TY - JOUR
T1 - Analysis of the Dynamics of a Predator-Prey Model with Holling Functional Response
AU - Chen , Hongyu
AU - Zhang , Chunrui
JO - Journal of Nonlinear Modeling and Analysis
VL - 2
SP - 310
EP - 324
PY - 2022
DA - 2022/06
SN - 4
DO - http://doi.org/10.12150/jnma.2022.310
UR - https://global-sci.org/intro/article_detail/jnma/20710.html
KW - Predator-prey model, Turing instability, Hopf bifurcation, Hydra
effect.
AB - <p style="text-align: justify;">A diffusive predator-prey system with Holling functional response
is considered. Firstly, existence of positive equilibrium of this reaction diffusion model under Neumann boundary condition is obtained. Meanwhile, the
existence conditions for Turing instability and Hopf bifurcations of a system
with Holling II functional response are established. Next, the existence of the
hydra effect is demonstrated, when the system is undergoing non-homogeneous
steady-state solutions. Finally, numerical simulations are illustrated to support our theory results.</p>