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
  • [31] Stabilization in a two-species chemotaxis system with a logistic source
    Tello, J. I.
    Winkler, M.
    NONLINEARITY, 2012, 25 (05) : 1413 - 1425
  • [32] Boundedness and stabilization in a two-dimensional two-species chemotaxis-Navier-Stokes system with competitive kinetics
    Hirata, Misaki
    Kurima, Shunsuke
    Mizukami, Masaaki
    Yokota, Tomomi
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 263 (01) : 470 - 490
  • [33] Criteria on global boundedness versus finite time blow-up to a two-species chemotaxis system with two chemicals
    Yu, Hao
    Wang, Wei
    Zheng, Sining
    NONLINEARITY, 2018, 31 (02) : 502 - 514
  • [34] Global existence and boundedness in a two-species chemotaxis system with nonlinear diffusion
    Huang, Ting
    Hou, Zhibo
    Han, Yongjie
    OPEN MATHEMATICS, 2021, 19 (01): : 949 - 962
  • [35] Global Boundedness in a Two-Competing-Species Chemotaxis System with Two Chemicals
    Zheng, Pan
    Mu, Chunlai
    ACTA APPLICANDAE MATHEMATICAE, 2017, 148 (01) : 157 - 177
  • [36] Global attractors in a two-species chemotaxis system with two chemicals and logistic sources
    Tian, Miaoqing
    He, Xiao
    Zheng, Sining
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 508 (01)
  • [37] Global solvability and asymptotic behavior in a two-species chemotaxis system with two chemicals
    Yang, Hongying
    Tu, Xinyu
    Yang, Li
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (12) : 7663 - 7684
  • [38] Global Boundedness in a Two-Competing-Species Chemotaxis System with Two Chemicals
    Pan Zheng
    Chunlai Mu
    Acta Applicandae Mathematicae, 2017, 148 : 157 - 177
  • [39] BOUNDEDNESS IN A TWO SPECIES ATTRACTION-REPULSION CHEMOTAXIS SYSTEM WITH TWO CHEMICALS
    Liu, Aichao
    Dai, Binxiang
    Chen, Yuming
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, 27 (10): : 6037 - 6062
  • [40] 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
12345