Effect of spatial memory on a predator–prey model with herd behavior
-
Published:2023-10-14
Issue:
Volume:
Page:
-
ISSN:1793-5245
-
Container-title:International Journal of Biomathematics
-
language:en
-
Short-container-title:Int. J. Biomath.
Author:
Peng Yahong1ORCID,
Yu Ke1ORCID,
Li Yujing1ORCID
Affiliation:
1. Department of Mathematics, Donghua University, Shanghai 201620, P. R. China
Abstract
In this paper, we introduce spatial memory into a predator–prey model with herd behavior. Taking memory-based diffusion coefficient and average memory period of predators as control parameters, we obtain the stable conditions of the positive equilibrium of system and prove the existence of Hopf bifurcation. In addition, a double Hopf bifurcation occurs at the intersection of the nonhomogeneous Hopf bifurcation curves, and a spatially nonhomogeneous quasi-periodic pattern can be observed near the double Hopf bifurcation point by numerical simulation.
Funder
Natural Science Foundation of Shanghai
National Natural Science Foundation of China
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Modeling and Simulation
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献