Logistic damping effect in chemotaxis models with density-suppressed motility

被引：60

作者：

Lyu, Wenbin ^{[1
]}

Wang, Zhi-An ^{[2
]}

机构：

[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China

[2] Hong Kong Polytech Univ, Dept Appl Math, Hung Hom, Hong Kong, Peoples R China

来源：

ADVANCES IN NONLINEAR ANALYSIS | 2023年 / 12卷 / 01期

基金：

中国国家自然科学基金;

关键词：

chemotaxis; density-suppressed motility; logistic source; global boundedness; asymptotic behavior; PATTERN-FORMATION; GLOBAL EXISTENCE; SYSTEM; BOUNDEDNESS; BOUNDARY;

D O I：

10.1515/anona-2022-0263

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with a parabolic-elliptic chemotaxis model with density-suppressed motility and general logistic source in an n-dimensional smooth bounded domain with Neumann boundary conditions. Under the minimal conditions for the density-suppressed motility function, we explore how strong the logistic damping can warrant the global boundedness of solutions and further establish the asymptotic behavior of solutions on top of the conditions.

引用

页码：336 / 355

页数：20

共 44 条

[1] ESTIMATES NEAR THE BOUNDARY FOR SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS SATISFYING GENERAL BOUNDARY CONDITIONS .1. [J].

AGMON, S ;

DOUGLIS, A ;

NIRENBERG, L .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1959, 12 (04) :623-727

[2] ESTIMATES NEAR BOUNDARY FOR SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS SATISFYING GENERAL BOUNDARY CONDITIONS .2. [J].

AGMON, S ;

DOUGLIS, A ;

NIRENBERG, L .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1964, 17 (01) :35-&

[3] Global well-posedness and stability of constant equilibria in parabolic-elliptic chemotaxis systems without gradient sensing [J].

Ahn, Jaewook ;

Yoon, Changwook .

NONLINEARITY, 2019, 32 (04) :1327-1351

[4]

Alikakos N.D, 1979, Commun. Part. Differ. Equ., V4, P827, DOI [DOI 10.1080/03605307908820113, 10.1080/03605307908820113]

[5] Toward a mathematical theory of Keller-Segel models of pattern formation in biological tissues [J].

Bellomo, N. ;

Bellouquid, A. ;

Tao, Y. ;

Winkler, M. .

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2015, 25 (09) :1663-1763

[6] Delayed blow-up for chemotaxis models with local sensing [J].

Burger, Martin ;

Laurencot, Philippe ;

Trescases, Ariane .

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2021, 103 (04) :1596-1617

[7] A logarithmic chemotaxis model featuring global existence and aggregation [J].

Desvillettes, Laurent ;

Kim, Yong-Jung ;

Trescases, Ariane ;

Yoon, Changwook .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2019, 50 :562-582

[8] Stripe Formation in Bacterial Systems with Density-Suppressed Motility [J].

Fu, Xiongfei ;

Tang, Lei-Han ;

Liu, Chenli ;

Huang, Jian-Dong ;

Hwa, Terence ;

Lenz, Peter .

PHYSICAL REVIEW LETTERS, 2012, 108 (19)

[9] Boundedness of Classical Solutions to a Degenerate Keller-Segel Type Model with Signal-Dependent Motilities [J].

Fujie, Kentaro ;

Jiang, Jie .

ACTA APPLICANDAE MATHEMATICAE, 2021, 176 (01)

[10] Comparison methods for a Keller-Segel-type model of pattern formations with density-suppressed motilities [J].

Fujie, Kentarou ;

Jiang, Jie .

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2021, 60 (03)

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