Spreading speeds and traveling waves of a parabolic-elliptic chemotaxis system with logistic source on $\mathbb{R}^N$

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2017268 ◽

2017 ◽

Vol 37 (12) ◽

pp. 6189-6225 ◽

Author(s):

Rachidi B. Salako ◽

◽

Wenxian Shen

Keyword(s):

Traveling Waves ◽

Logistic Source ◽

Spreading Speeds ◽

Chemotaxis System

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Traveling waves of a full parabolic attraction-repulsion chemotaxis system with logistic source

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2019260 ◽

2019 ◽

Vol 39 (10) ◽

pp. 5945-5973

Author(s):

Rachidi B. Salako ◽

Keyword(s):

Traveling Waves ◽

Logistic Source ◽

Chemotaxis System

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Sub-logistic source can prevent blow-up in the 2D minimal Keller-Segel chemotaxis system

Journal of Mathematical Physics ◽

10.1063/1.5018861 ◽

2018 ◽

Vol 59 (8) ◽

pp. 081502 ◽

Author(s):

Tian Xiang

Keyword(s):

Blow Up ◽

Logistic Source ◽

Chemotaxis System

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A parabolic–elliptic–elliptic attraction–repulsion chemotaxis system with logistic source

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2017.05.068 ◽

2017 ◽

Vol 455 (1) ◽

pp. 650-679 ◽

Author(s):

Jie Zhao ◽

Chunlai Mu ◽

Deqin Zhou ◽

Ke Lin

Keyword(s):

Logistic Source ◽

Chemotaxis System

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Spreading Speeds and Traveling Waves for Nonmonotone Integrodifference Equations

SIAM Journal on Mathematical Analysis ◽

10.1137/070703016 ◽

2008 ◽

Vol 40 (2) ◽

pp. 776-789 ◽

Author(s):

Sze-Bi Hsu ◽

Xiao-Qiang Zhao

Keyword(s):

Traveling Waves ◽

Integrodifference Equations ◽

Spreading Speeds

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Boundedness properties of very weak solutions to a fully parabolic chemotaxis-system with logistic source

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2016.10.001 ◽

2017 ◽

Vol 34 ◽

pp. 520-535 ◽

Author(s):

G. Viglialoro

Keyword(s):

Weak Solutions ◽

Logistic Source ◽

Very Weak Solutions ◽

Chemotaxis System

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A quasilinear fully parabolic chemotaxis system with indirect signal production and logistic source

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2019.04.043 ◽

2019 ◽

Vol 477 (1) ◽

pp. 488-522 ◽

Author(s):

Wei Wang

Keyword(s):

Logistic Source ◽

Signal Production ◽

Chemotaxis System ◽

Indirect Signal Production

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A new result for boundedness of solutions to a higher-dimensional quasilinear chemotaxis system with a logistic source

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2020.124784 ◽

2021 ◽

Vol 496 (1) ◽

pp. 124784

Author(s):

Jianing Xie

Keyword(s):

Logistic Source ◽

Boundedness Of Solutions ◽

Higher Dimensional ◽

Chemotaxis System

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Boundedness in a quasilinear parabolic-parabolic chemotaxis system with nonlinear logistic source

Czechoslovak Mathematical Journal ◽

10.1007/s10587-015-0231-0 ◽

2015 ◽

Vol 65 (4) ◽

pp. 1117-1136

Author(s):

Ji Liu ◽

Jia-Shan Zheng

Keyword(s):

Logistic Source ◽

Chemotaxis System ◽

Quasilinear Parabolic

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Boundedness and blow-up for a chemotaxis system with generalized volume-filling effect and logistic source

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2015.35.2299 ◽

2015 ◽

Vol 35 (5) ◽

pp. 2299-2323 ◽

Author(s):

Pan Zheng ◽

◽

Chunlai Mu ◽

Xuegang Hu ◽

Keyword(s):

Blow Up ◽

Logistic Source ◽

Volume Filling ◽

Chemotaxis System

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Global attractivity, spreading speeds and traveling waves of delayed nonlocal reaction–diffusion systems

Journal of Differential Equations ◽

10.1016/j.jde.2014.10.009 ◽

2015 ◽

Vol 258 (4) ◽

pp. 1058-1105 ◽

Author(s):

Shi-Liang Wu ◽

Cheng-Hsiung Hsu ◽

Yanyu Xiao

Keyword(s):

Traveling Waves ◽

Global Attractivity ◽

Reaction Diffusion ◽

Spreading Speeds ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Nonlocal Reaction

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