Boundedness and stabilization in a two-species chemotaxis system with two chemicals

被引：6
|
作者：
Liu, Aichao [1 ,2 ]
Dai, Binxiang [1 ]
机构：
[1] Cent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Hunan, Peoples R China
[2] Huanghuai Univ, Sch Math & Stat, Zhumadian 463000, Henan, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 506卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Boundedness; Stabilization; Two-species chemotaxis; Logistic damping; TIME BLOW-UP; KELLER-SEGEL SYSTEM; GLOBAL EXISTENCE; AGGREGATION; MODEL; STABILITY; BOUNDARY; DYNAMICS;
D O I：
10.1016/j.jmaa.2021.125609
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Concerned is a two-species chemotaxis system with cross-diffusion and logistic source in a smooth bounded domain. When the system is parabolic-elliptic-parabolic-elliptic, if the logistic damping effect is strong enough then the solutions of the system are global, bounded and exponentially convergent to the constant steady-state solution. This is also true for the fully parabolic system. It is also shown that the damping effect is conducive to the global existence of solutions, which prevents the occurrence of blow-up in the presence of chemotaxis. (c) 2021 Elsevier Inc. All rights reserved.
引用
收藏
页数：19
相关论文
共 50 条
  • [11] Boundedness in a two-species chemotaxis system
    Lin, Ke
    Mu, Chunlai
    Wang, Liangchen
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (18) : 5085 - 5096
  • [12] Boundedness and Stabilization in a Two-Species and Two-Stimuli Chemotaxis System with Signaling Loop
    Liangchen Wang
    Xiaobing Ye
    Rong Zhang
    Acta Applicandae Mathematicae, 2021, 175
  • [13] Boundedness and Stabilization in a Two-Species and Two-Stimuli Chemotaxis System with Signaling Loop
    Wang, Liangchen
    Ye, Xiaobing
    Zhang, Rong
    ACTA APPLICANDAE MATHEMATICAE, 2021, 175 (01)
  • [14] BOUNDEDNESS VS. BLOW-UP IN A TWO-SPECIES CHEMOTAXIS SYSTEM WITH TWO CHEMICALS
    Tao, Youshan
    Winkler, Michael
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2015, 20 (09): : 3165 - 3183
  • [15] GLOBAL BOUNDEDNESS IN A QUASILINEAR TWO-SPECIES ATTRACTION-REPULSION CHEMOTAXIS SYSTEM WITH TWO CHEMICALS
    Tian, Miaoqing
    Wang, Shujuan
    Xiao, Xia
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2023, 28 (01): : 197 - 208
  • [16] Stabilization in a two-species chemotaxis system with two chemicals under small initial conditions
    Liu, Aichao
    Dai, Binxiang
    APPLIED MATHEMATICS LETTERS, 2022, 130
  • [17] Global boundedness of solutions to a two-species chemotaxis system
    Qingshan Zhang
    Yuxiang Li
    Zeitschrift für angewandte Mathematik und Physik, 2015, 66 : 83 - 93
  • [18] Boundedness in a full parabolic two-species chemotaxis system
    Htwe, Myo Win
    Wang, Yifu
    COMPTES RENDUS MATHEMATIQUE, 2017, 355 (01) : 80 - 83
  • [19] Global boundedness of solutions to a two-species chemotaxis system
    Zhang, Qingshan
    Li, Yuxiang
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2015, 66 (01): : 83 - 93
  • [20] Global boundedness in a two-species attraction-repulsion chemotaxis system with two chemicals and nonlinear productions
    Tian, Miaoqing
    Han, Lili
    He, Xiao
    Zheng, Sining
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2024, 76
12345