Fast-slow dynamics for intraguild predation models with evolutionary effects
type: Item
instance of: scholarly article
title: Fast-slow dynamics for intraguild predation models with evolutionary effects
zbMATH Open document ID: 1461.34073
author: Jianhe Shen
author: Cheng-Hsiung Hsu
author: Ting-Hui Yang
published in: Journal of Dynamics and Differential Equations
publication date: 2020-05-18T00:00:00Z
review text: A four-dimensional ODE system with one slow and three fast variables is considered. The fast variables describe the dynamics of the prey and two predators, while the slow variable describes the influence of the evolutionary effect. The methods of the geometric theory of singular perturbations are used for a detailed analysis of the behavior of solutions. In particular, the existence of relaxation oscillations has been proved. In conclusion, the problem of the existence of traveling waves is formulated with allowance for diffusion.
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 34C26
Mathematics Subject Classification ID: 34E20
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34C23
zbMATH DE Number: 7201512
zbMATH Keywords: intraguild predator
zbMATH Keywords: geometric singular perturbation theory
zbMATH Keywords: turning points
zbMATH Keywords: delay of stability loss
zbMATH Keywords: relaxation oscillation
zbMATH Keywords: transcritical bifurcation
zbMATH Keywords: delayed bifurcation
describes a project that uses: XPPAUT
describes a project that uses: GitHub
MaRDI profile type: Publication
full work available at URL: s10884-019-09744-3
OpenAlex ID: W2938068615
Wikidata QID: Q115603926
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DOI: 10.1007/S10884-019-09744-3
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description: scientific article