TRAVELING WAVES IN A CHEMOTAXIS MODEL WITH LOGISTIC GROWTH

Tong Li; Jeungeun Park

doi:10.3934/dcdsb.2019147

Back

TRAVELING WAVES IN A CHEMOTAXIS MODEL WITH LOGISTIC GROWTH

Journal article

Open access

Peer reviewed

TRAVELING WAVES IN A CHEMOTAXIS MODEL WITH LOGISTIC GROWTH

Tong Li and Jeungeun Park

Discrete and continuous dynamical systems. Series B, Vol.24(12), pp.6465-6480

12/01/2019

DOI: 10.3934/dcdsb.2019147

Files and links (1)

url

https://doi.org/10.3934/dcdsb.2019147View

Published (Version of record) Open Access

Abstract

Traveling wave solutions of a chemotaxis model with a reaction term are studied. We investigate the existence and non-existence of traveling wave solutions in certain ranges of parameters. Particularly for a positive rate of chemical growth, we prove the existence of a heteroclinic orbit by constructing a positively invariant set in the three dimensional space. The monotonicity of traveling waves is also analyzed in terms of chemotaxis, reaction and diffusion parameters. Finally, the traveling wave solutions are shown to be linearly unstable.

Mathematics

Physical Sciences

Mathematics, Applied

Science & Technology

Details

Title: Subtitle: TRAVELING WAVES IN A CHEMOTAXIS MODEL WITH LOGISTIC GROWTH
Creators: Tong Li - Univ Iowa, Dept Math, Iowa City, IA 52242 USA
Jeungeun Park - Univ Iowa, Dept Math, Iowa City, IA 52242 USA
Resource Type: Journal article
Publication Details: Discrete and continuous dynamical systems. Series B, Vol.24(12), pp.6465-6480
DOI: 10.3934/dcdsb.2019147
ISSN: 1531-3492
eISSN: 1553-524X
Publisher: AMER INST MATHEMATICAL SCIENCES-AIMS
Number of pages: 16
Language: English
Date published: 12/01/2019
Academic Unit: Mathematics
Record Identifier: 9984241047702771

Metrics

68 Record Views

10 Times Cited - Web of Science