Development of traveling waves in an interacting two-species chemotaxis model

Tai Chia Lin; Zhian Wang

doi:10.3934/dcds.2014.34.2907

Development of traveling waves in an interacting two-species chemotaxis model

Tai Chia Lin, Zhian Wang

Research output: Journal article publication › Journal article › Academic research › peer-review

7 Citations (Scopus)

Abstract

By constructing sub and super solutions, we establish the existence of traveling wave solutions to a two-species chemotaxis model, which describes two interacting species chemotactically reacting to a chemical signal that is degraded by the two species. We identify the full parameter regime in which the traveling wave solutions exist, derive the asymptotical decay rates of traveling wave solutions at far field and show that the traveling wave solutions are convergent as the chemical diffusion coefficient goes to zero.

Original language	English
Pages (from-to)	2907-2927
Number of pages	21
Journal	Discrete and Continuous Dynamical Systems- Series A
Volume	34
Issue number	7
DOIs	https://doi.org/10.3934/dcds.2014.34.2907
Publication status	Published - 1 Jul 2014

Keywords

Asymptotic behavior
Chemotaxis
Logarithmic sensitivity
Maximum principle
Multi-species
Sub and super-solutions
Traveling wave solutions

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.3934/dcds.2014.34.2907

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KW - Chemotaxis

KW - Logarithmic sensitivity

KW - Maximum principle

KW - Multi-species

KW - Sub and super-solutions

KW - Traveling wave solutions

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Development of traveling waves in an interacting two-species chemotaxis model

Abstract

Keywords

ASJC Scopus subject areas

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