@Article{JNMA-3-663,
author = {Xu , ShuoQu , Mingzhu and Zhang , Chunrui},
title = {Investigating the Turing Conditions for Diffusion-Driven Instability in Predator-Prey System with Hunting Cooperation Functional Response},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2022},
volume = {3},
number = {4},
pages = {663--676},
abstract = {<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>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2021.663},
url = {http://global-sci.org/intro/article_detail/jnma/20689.html}
}