Stability and patterns of the nutrient-microorganism model with chemotaxis

被引：1
|
作者：
Chen, Mengxin [3 ]
Wu, Ranchao [1 ,2 ]
机构：
[1] Anhui Univ, Sch Math, Xinxiang 230601, Peoples R China
[2] Anhui Univ, Ctr Pure Math, Xinxiang 230601, Peoples R China
[3] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China
来源：
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2023年 / 78卷 / 04期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
chemotaxis; nutrient-microorganism model; spatiotemporal pattern; SYSTEM;
D O I：
10.1515/zna-2022-0295
中图分类号：
O64 [物理化学（理论化学）、化学物理学];
学科分类号：
070304 ; 081704 ;
摘要：
In this paper, the stability and the bifurcations of the nutrient-microorganism model with chemotaxis are analyzed, subject to no-flux boundary conditions. By choosing the chemotaxis coefficient as the control parameter, it is found that the steady state bifurcation, the Hopf-Turing bifurcation, can happen in the model. The induced spatially homogeneous periodic solution, the non-constant steady state, and the spatially inhomogeneous periodic solution are exhibited. The results suggest that chemotaxis assimilated into the model could give rise to rich spatiotemporal dynamical behaviors.
引用
收藏
页码：315 / 323
页数：9
相关论文
共 50 条
  • [31] The effects of nutrient chemotaxis on bacterial aggregation patterns with non-linear degenerate cross diffusion
    Francisco Leyva, J.
    Malaga, Carlos
    Plaza, Ramon G.
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2013, 392 (22) : 5644 - 5662
  • [32] Asymptotic and stability analysis of solutions for a Keller Segel chemotaxis model
    Qu, Kai
    Li, Chanjie
    Zhang, Feiyu
    CONCURRENT ENGINEERING-RESEARCH AND APPLICATIONS, 2021, 29 (01): : 75 - 81
  • [33] Stability and absorbing set of parabolic chemotaxis model of Escherichia coli
    Rionero, Salvatore
    Vitiello, Maria
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2013, 18 (02): : 210 - 226
  • [34] Asymptotic stability of traveling waves of a chemotaxis model with singular sensitivity
    Jin, Hai-Yang
    Li, Jingyu
    Wang, Zhi-An
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 255 (02) : 193 - 219
  • [35] Existence and meta-stability of steady states of a model for chemotaxis
    Davidson, Fordyce A.
    Savory, Andrew I. M.
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2014, 17 : 101 - 113
  • [36] ASYMPTOTIC STABILITY OF TRAVELING FRONTS TO A CHEMOTAXIS MODEL WITH NONLINEAR DIFFUSION
    Ghani, Mohammad
    Li, Jingyu
    Zhang, Kaijun
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2021, 26 (12): : 6253 - 6265
  • [37] Extinction and permanence of two-nutrient and two-microorganism chemostat model with pulsed input
    Wang, Tieying
    Chen, Lansun
    Zhang, Ping
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (10) : 3035 - 3045
  • [38] Extinction and permanence of two-nutrient and one-microorganism chemostat model with pulsed input
    Song, Xinyu
    Zhao, Zhong
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2006, 2006
  • [39] Steady-State Spatial Patterns in a Cell-Chemotaxis Model
    1600, Oxford University Press (06):
  • [40] EXISTENCE OF MULTIPLE SPIKE STATIONARY PATTERNS IN A CHEMOTAXIS MODEL WITH WEAK SATURATION
    Kurata, Kazuhiro
    Morimoto, Kotaro
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2011, 31 (01) : 139 - 164
12345