Persistence, coexistence and extinction in two species chemotaxis models on bounded heterogeneous environments
type: Item
instance of: scholarly article
title: Persistence, coexistence and extinction in two species chemotaxis models on bounded heterogeneous environments
zbMATH Open document ID: 1439.35491
author: T. B. Issa
author: Wenxian Shen
published in: Journal of Dynamics and Differential Equations
publication date: 2019-11-12T00:00:00Z
full work available at URL: https://arxiv.org/abs/1709.10040
review text: The chemotaxis system for two species with space- and time-dependent reaction terms of Lotka-Volterra type is considered in bounded domains of \(\mathbb R^n\). First, existence of global-in-time solutions and their boundedness are studied. Then, the authors extend studies on coexistence, persistence vs. extinction of solutions for reaction-diffusion systems to the case with chemotactic interactions.
reviewed by: Piotr Biler
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 92C17
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35K51
zbMATH DE Number: 7128667
zbMATH Keywords: two species chemotaxis system
zbMATH Keywords: comparison principle
zbMATH Keywords: reaction terms of Lotka-Volterra type
MaRDI profile type: Publication
OpenAlex ID: W2963462492
Wikidata QID: Q114689776
arXiv ID: 1709.10040
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DOI: 10.1007/S10884-018-9686-7
description: scientific article