TY - JOUR
T1 - Investigating the Turing Conditions for Diffusion-Driven Instability in Predator-Prey System with Hunting Cooperation Functional Response
AU - Xu , Shuo
AU - Qu , Mingzhu
AU - Zhang , Chunrui
JO - Journal of Nonlinear Modeling and Analysis
VL - 4
SP - 663
EP - 676
PY - 2022
DA - 2022/06
SN - 3
DO - http://doi.org/10.12150/jnma.2021.663
UR - https://global-sci.org/intro/article_detail/jnma/20689.html
KW - Reaction-diffusion-ordinary differential equations, Steady state
solutions, Hunting cooperation functional response, Carnivorous plants and insects model.
AB - <p style="text-align: justify;">In this paper, we focus on stability analysis of steady-state solutions of a predator-prey system with hunting cooperation functional response.
The results show that the Turing instability can be affected not only the existence of hunting cooperation, but also the diffusion coefficients: (1) in the
absence of predator diffusion, diffusion-driven instability can be induced by
hunting cooperation, but no stable patterns appear; (2) the system can occur
diffusion-driven instability and Turing patterns, when both predator and prey
have diffusion, and the diffusion coefficient of prey is greater than that of the
predator. The numerical simulations of two cases are presented to verify the
validity of our theoretical results.</p>