Boundedness criteria for the quasilinear attraction-repulsion chemotaxis system with nonlinear signal production and logistic source

被引：3

作者：

Wang, Chang-Jian ^{[1
]}

Yang, Yu-Tao ^{[2
]}

机构：

[1] Xinyang Normal Univ, Sch Math & Stat, Xinyang 464000, Peoples R China

[2] Nanchang Univ, Sch Math & Comp Sci, Nanchang 330031, Peoples R China

来源：

ELECTRONIC RESEARCH ARCHIVE | 2022年 / 31卷 / 01期

关键词：

boundedness criteria; attraction-repulsion system; nonlinear signal production; logistic source; KELLER-SEGEL SYSTEM; TIME BLOW-UP; WEAK GLOBAL-SOLUTIONS; NONRADIAL SOLUTIONS; MODEL; EQUATIONS; BEHAVIOR;

D O I：

10.3934/era.2023015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with the following quasilinear attraction-repulsion chemotaxis system (Formula Presented)with homogeneous Neumann boundary conditions in a bounded, smooth domain(Formula Presented)where(Formula Presented)It is proved that if the nonlinear exponents of the system satisfy(Formula Presented)then the system has globally bounded classical solutions. Furthermore, assume that(Formula Presented)one of the following conditions holds:(Formula Presented)then the classical solutions of the system would be globally bounded. The global boundedness criteria generalize the results established by previous researchers. © 2023 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)

引用

页码：299 / 318

页数：20

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