Global existence of solutions to an attraction-repulsion chemotaxis model with growth

Sainan Wu; Junping Shi; Boying Wu

doi:10.3934/cpaa.2017050

Global existence of solutions to an attraction-repulsion chemotaxis model with growth

Sainan Wu
, Junping Shi
, Boying Wu

School of Mathematics

Harbin Institute of Technology
College of William and Mary

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

An attraction-repulsion chemotaxis model with nonlinear chemotactic sensitivity functions and growth source is considered. The global-in-Time existence and boundedness of solutions are proved under some conditions on the nonlinear sensitivity functions and growth source function. Our results improve the earlier ones for the linear sensitivity functions.

Original language	English
Pages (from-to)	1037-1058
Number of pages	22
Journal	Communications on Pure and Applied Analysis
Volume	16
Issue number	3
DOIs	https://doi.org/10.3934/cpaa.2017050
State	Published - May 2017

Keywords

Attraction-repulsion chemotaxis
Boundedness
Global existence
Nonlinear chemotactic sensitivity

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title = "Global existence of solutions to an attraction-repulsion chemotaxis model with growth",

abstract = "An attraction-repulsion chemotaxis model with nonlinear chemotactic sensitivity functions and growth source is considered. The global-in-Time existence and boundedness of solutions are proved under some conditions on the nonlinear sensitivity functions and growth source function. Our results improve the earlier ones for the linear sensitivity functions.",

keywords = "Attraction-repulsion chemotaxis, Boundedness, Global existence, Nonlinear chemotactic sensitivity",

author = "Sainan Wu and Junping Shi and Boying Wu",

year = "2017",

month = may,

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T1 - Global existence of solutions to an attraction-repulsion chemotaxis model with growth

AU - Wu, Sainan

AU - Shi, Junping

AU - Wu, Boying

PY - 2017/5

Y1 - 2017/5

N2 - An attraction-repulsion chemotaxis model with nonlinear chemotactic sensitivity functions and growth source is considered. The global-in-Time existence and boundedness of solutions are proved under some conditions on the nonlinear sensitivity functions and growth source function. Our results improve the earlier ones for the linear sensitivity functions.

AB - An attraction-repulsion chemotaxis model with nonlinear chemotactic sensitivity functions and growth source is considered. The global-in-Time existence and boundedness of solutions are proved under some conditions on the nonlinear sensitivity functions and growth source function. Our results improve the earlier ones for the linear sensitivity functions.

KW - Attraction-repulsion chemotaxis

KW - Boundedness

KW - Global existence

KW - Nonlinear chemotactic sensitivity

UR - https://www.scopus.com/pages/publications/85017537080

U2 - 10.3934/cpaa.2017050

DO - 10.3934/cpaa.2017050

M3 - 文章

AN - SCOPUS:85017537080

SN - 1534-0392

VL - 16

SP - 1037

EP - 1058

JO - Communications on Pure and Applied Analysis

JF - Communications on Pure and Applied Analysis

IS - 3

ER -

Global existence of solutions to an attraction-repulsion chemotaxis model with growth

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Keywords

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