Investigating the Turing Conditions for Diffusion-Driven Instability in Predator-Prey System with Hunting Cooperation Functional Response
Year: 2021
Author: Shuo Xu, Mingzhu Qu, Chunrui Zhang
Journal of Nonlinear Modeling and Analysis, Vol. 3 (2021), Iss. 4 : pp. 663–676
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2021.663
Journal of Nonlinear Modeling and Analysis, Vol. 3 (2021), Iss. 4 : pp. 663–676
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Reaction-diffusion-ordinary differential equations Steady state solutions Hunting cooperation functional response Carnivorous plants and insects model.