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
  • [1] BOUNDEDNESS AND STABILIZATION IN A TWO-SPECIES CHEMOTAXIS SYSTEM WITH TWO CHEMICALS
    Wang, Liangchen
    Zhang, Jing
    Mu, Chunlai
    Hu, Xuegang
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2020, 25 (01): : 191 - 221
  • [2] Boundedness in a three-dimensional two-species chemotaxis system with two chemicals
    Pan, Xu
    Wang, Liangchen
    Zhang, Jing
    Wang, Jie
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2020, 71 (01):
  • [3] A NEW RESULT FOR BOUNDEDNESS AND STABILIZATION IN A TWO-SPECIES CHEMOTAXIS SYSTEM WITH TWO CHEMICALS
    Wang, Liangchen
    Mu, Chunlai
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2020, 25 (12): : 4585 - 4601
  • [4] Boundedness and stabilization in a two-species chemotaxis system with logistic source
    Ren, Guoqiang
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2020, 71 (05):
  • [5] Boundedness in a quasilinear two-species chemotaxis system with two chemicals in higher dimensions
    Zhong, Hua
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 500 (01)
  • [6] ON A QUASILINEAR FULLY PARABOLIC TWO-SPECIES CHEMOTAXIS SYSTEM WITH TWO CHEMICALS
    Pan, Xu
    Wang, Liangchen
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, 27 (01): : 361 - 391
  • [7] Boundedness and stabilization in a two-species chemotaxis system with signal absorption
    Zhang, Qingshan
    Tao, Weirun
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 78 (08) : 2672 - 2681
  • [8] BOUNDEDNESS AND ASYMPTOTIC BEHAVIOR IN A QUASILINEAR TWO-SPECIES CHEMOTAXIS SYSTEM WITH LOOP
    Liu, Chao
    Liu, Bin
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2023, 22 (04) : 1239 - 1270
  • [9] 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)
  • [10] Boundedness in a two-species chemotaxis system
    Lin, Ke
    Mu, Chunlai
    Wang, Liangchen
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (18) : 5085 - 5096
12345