Global existence of solutions to parabolic two species predator-prey chemotaxis system

Mapping Intimacies ◽

10.22541/au.161564829.96328223/v1 ◽

2021 ◽

Author(s):

Arumugam Gurusamy ◽

Gnanasekaran Shanmugasundaram ◽

Nithyadevi nagarajan ◽

Yang He

Keyword(s):

Global Existence ◽

Existence Of Solutions ◽

Predator Prey ◽

Global Existence Of Solutions ◽

Chemotaxis System

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Global existence of solutions to a two dimensional attraction–repulsion chemotaxis system in the attractive dominant case with critical mass

Nonlinear Analysis ◽

10.1016/j.na.2019.111615 ◽

2020 ◽

Vol 190 ◽

pp. 111615

Author(s):

Toshitaka Nagai ◽

Tetsuya Yamada

Keyword(s):

Global Existence ◽

Existence Of Solutions ◽

Critical Mass ◽

Two Dimensional ◽

Global Existence Of Solutions ◽

Chemotaxis System

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Global existence of solutions to a parabolic–elliptic chemotaxis system with critical degenerate diffusion

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2014.02.069 ◽

2014 ◽

Vol 417 (1) ◽

pp. 144-163 ◽

Author(s):

Elissar Nasreddine

Keyword(s):

Global Existence ◽

Existence Of Solutions ◽

Degenerate Diffusion ◽

Global Existence Of Solutions ◽

Chemotaxis System

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Global existence of solutions to a cross-diffusion predator–prey system with Holling type-II functional response

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2013.02.007 ◽

2013 ◽

Vol 65 (8) ◽

pp. 1152-1162 ◽

Author(s):

Chenglin Li

Keyword(s):

Global Existence ◽

Functional Response ◽

Existence Of Solutions ◽

Type Ii ◽

Predator Prey ◽

Cross Diffusion ◽

Global Existence Of Solutions ◽

Prey System ◽

Type Ii Functional Response

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Global existence of solutions to the Cauchy problem for an attraction–repulsion chemotaxis system inR2in the attractive dominant case

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2018.02.057 ◽

2018 ◽

Vol 462 (2) ◽

pp. 1519-1535 ◽

Author(s):

Toshitaka Nagai ◽

Tetsuya Yamada

Keyword(s):

Cauchy Problem ◽

Global Existence ◽

Existence Of Solutions ◽

Global Existence Of Solutions ◽

The Cauchy Problem ◽

Chemotaxis System

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Global existence of solutions and uniform persistence of a diffusive predator–prey model with prey-taxis

Journal of Differential Equations ◽

10.1016/j.jde.2015.12.024 ◽

2016 ◽

Vol 260 (7) ◽

pp. 5847-5874 ◽

Author(s):

Sainan Wu ◽

Junping Shi ◽

Boying Wu

Keyword(s):

Global Existence ◽

Existence Of Solutions ◽

Uniform Persistence ◽

Predator Prey ◽

Predator Prey Model ◽

Global Existence Of Solutions ◽

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Global existence of solutions to a chemotaxis system with volume filling effect

Colloquium Mathematicum ◽

10.4064/cm111-1-11 ◽

2008 ◽

Vol 111 (1) ◽

pp. 117-134 ◽

Author(s):

Tomasz Cieślak

Keyword(s):

Global Existence ◽

Existence Of Solutions ◽

Volume Filling ◽

Global Existence Of Solutions ◽

Chemotaxis System

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Asymptotic behavior and global existence of solutions to a two-species chemotaxis system with two chemicals

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-018-1002-1 ◽

2018 ◽

Vol 69 (4) ◽

Author(s):

E. Cruz ◽

M. Negreanu ◽

J. I. Tello

Keyword(s):

Asymptotic Behavior ◽

Global Existence ◽

Existence Of Solutions ◽

Global Existence Of Solutions ◽

Chemotaxis System

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Global existence of solutions to a fully parabolic chemotaxis system with singular sensitivity and logistic source

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2019.03.009 ◽

2019 ◽

Vol 49 ◽

pp. 286-311 ◽

Author(s):

Mengyao Ding ◽

Wei Wang ◽

Shulin Zhou

Keyword(s):

Global Existence ◽

Existence Of Solutions ◽

Logistic Source ◽

Global Existence Of Solutions ◽

Singular Sensitivity ◽

Chemotaxis System

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Global existence of solutions for a fully parabolic chemotaxis system with consumption of chemoattractant and logistic source

Mathematische Nachrichten ◽

10.1002/mana.201300105 ◽

2014 ◽

Vol 288 (5-6) ◽

pp. 710-720 ◽

Author(s):

Pan Zheng ◽

Chunlai Mu

Keyword(s):

Global Existence ◽

Existence Of Solutions ◽

Logistic Source ◽

Global Existence Of Solutions ◽

Chemotaxis System

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Global existence of solutions to the Cauchy problem of a two dimensional attraction–repulsion chemotaxis system

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2020.103185 ◽

2021 ◽

Vol 57 ◽

pp. 103185

Author(s):

Renkun Shi ◽

Guoqiao You

Keyword(s):

Cauchy Problem ◽

Global Existence ◽

Existence Of Solutions ◽

Two Dimensional ◽

Global Existence Of Solutions ◽

The Cauchy Problem ◽

Chemotaxis System

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