Boundedness and finite-time collapse in a chemotaxis system with volume-filling effect

Nonlinear Analysis ◽

10.1016/j.na.2009.07.045 ◽

2010 ◽

Vol 72 (2) ◽

pp. 1044-1064 ◽

Author(s):

Michael Winkler ◽

Kianhwa C. Djie

Keyword(s):

Finite Time ◽

Volume Filling ◽

Chemotaxis System

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Finite-time blow-up in the three-dimensional fully parabolic attraction-dominated attraction-repulsion chemotaxis system

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.125409 ◽

2021 ◽

pp. 125409

Author(s):

Johannes Lankeit

Keyword(s):

Finite Time ◽

Blow Up ◽

Three Dimensional ◽

Chemotaxis System

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Boundedness and finite-time blow-up in a chemotaxis system with nonlinear signal production

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2020.103237 ◽

2021 ◽

Vol 59 ◽

pp. 103237

Author(s):

Wanwan Wang ◽

Yuxiang Li

Keyword(s):

Finite Time ◽

Blow Up ◽

Signal Production ◽

Chemotaxis System ◽

Nonlinear Signal ◽

Nonlinear Signal Production

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Finite time blow-up of nonradial solutions in an attraction–repulsion chemotaxis system

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2016.09.007 ◽

2017 ◽

Vol 34 ◽

pp. 335-342 ◽

Author(s):

Hao Yu ◽

Qian Guo ◽

Sining Zheng

Keyword(s):

Finite Time ◽

Blow Up ◽

Chemotaxis System

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Finite-Time Blow-up in a Quasilinear Degenerate Chemotaxis System with Flux Limitation

Acta Applicandae Mathematicae ◽

10.1007/s10440-019-00275-z ◽

2019 ◽

Vol 167 (1) ◽

pp. 231-259 ◽

Author(s):

Yuka Chiyoda ◽

Masaaki Mizukami ◽

Tomomi Yokota

Keyword(s):

Finite Time ◽

Blow Up ◽

Chemotaxis System ◽

Flux Limitation

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Finite-time blow-up in quasilinear parabolic-elliptic chemotaxis system with nonlinear signal production

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2019.123376 ◽

2019 ◽

Vol 480 (1) ◽

pp. 123376 ◽

Author(s):

Yan Li

Keyword(s):

Finite Time ◽

Blow Up ◽

Signal Production ◽

Chemotaxis System ◽

Nonlinear Signal ◽

Nonlinear Signal Production ◽

Quasilinear Parabolic

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Finite-time blow-up in a quasilinear chemotaxis system with an external signal consumption

Topological Methods in Nonlinear Analysis ◽

10.12775/tmna.2018.035 ◽

2019 ◽

pp. 1

Author(s):

Pan Zheng ◽

Chunlai Mu ◽

Xuegang Hu ◽

Liangchen Wang

Keyword(s):

Finite Time ◽

Blow Up ◽

External Signal ◽

Chemotaxis System

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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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Finite-time blowup in Cauchy problem of parabolic-parabolic chemotaxis system

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2019.10.004 ◽

2020 ◽

Vol 136 ◽

pp. 203-238 ◽

Author(s):

Noriko Mizoguchi

Keyword(s):

Cauchy Problem ◽

Finite Time ◽

Finite Time Blowup ◽

Chemotaxis System ◽

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Finite-Time Blow-Up and Local Existence for Chemotaxis System with a General Memory Term

Journal of Partial Differential Equations ◽

10.4208/jpde.v34.n1.5 ◽

2021 ◽

Vol 34 (1) ◽

pp. 67-82

Author(s):

global YingdongWu

Keyword(s):

Finite Time ◽

Blow Up ◽

Local Existence ◽

Memory Term ◽

Chemotaxis System

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Finite-time blow-up and global boundedness for chemotaxis system with strong logistic dampening

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2020.123876 ◽

2020 ◽

Vol 486 (1) ◽

pp. 123876 ◽

Author(s):

Xinyu Tu ◽

Shuyan Qiu

Keyword(s):

Finite Time ◽

Blow Up ◽

Chemotaxis System ◽

Global Boundedness

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