Global bifurcation in a toxin producing phytoplankton-zooplankton system with prey-taxis
type: Item
instance of: scholarly article
title: Global bifurcation in a toxin producing phytoplankton-zooplankton system with prey-taxis
zbMATH Open document ID: 1482.92076
author: Yahong Peng
author: Yujing Li
author: Tonghua Zhang
published in: Nonlinear Analysis. Real World Applications
publication date: 2022-01-14T00:00:00Z
review text: In this paper, authors first study the stability of the positive constant equilibrium and Turing instability induced by prey-taxis for phytoplankton-zooplankton system with prey-taxis. Then by applying Crandall-Rabinowitz bifurcation theory, the local existence of the nonconstant positive steady state bifurcating from the positive constant equilibrium \(E^*\) is proven. In one dimension case, when \(\phi (Z)=Z\), authors show that the local solution of the bifurcating branches can be extended to a global one.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35B32
zbMATH DE Number: 7457480
zbMATH Keywords: phytoplankton-zooplankton system
zbMATH Keywords: prey-taxis
zbMATH Keywords: a priori estimate
zbMATH Keywords: global bifurcation
reviewed by: Wan-Tong Li
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2021.103326
OpenAlex ID: W3142929736
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DOI: 10.1016/J.NONRWA.2021.103326
description: scientific article; zbMATH DE number 7457480