Global boundedness in a three-dimensional chemotaxis–haptotaxis model-Reference-Cited by-同舟云学术

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Global boundedness in a three-dimensional chemotaxis–haptotaxis model

Published:2019-05 Issue:9 Volume:77 Page:2447-2462
ISSN:0898-1221
Container-title:Computers & Mathematics with Applications
language:en
Short-container-title:Computers & Mathematics with Applications

Author:

Li Dan,Mu Chunlai,Yi Hong^ORCID

Funder

graduate research and innovation foundation of Chongqing, China

NSFC, China

Fundamental Research Funds for the Central Universities, China

Publisher

Elsevier BV

Subject

Computational Mathematics,Computational Theory and Mathematics,Modeling and Simulation

Reference64 articles.

1. Signal transduction for chemotaxis and haptotaxis by matrix molecules in tumor cells;Aznavoorian;J. Cell Biol.,1990

2. Mathematical modelling of tissue invasion: dynamic heterogeneity;Chaplain;Netw. Heterog. Media,2006

3. On the foundations of cancer modelling: selected topics, speculations and perspectives;Bellomo;Math. Models Methods Appl. Sci.,2008

4. Signal transduction and u-PA/u-PAR system;Besser;Fibrinolysis,1996

5. Mathematical modelling of tissue invasion;Chaplain;Cancer Model. Simul.,2003

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1. Negligibility of haptotaxis on global dynamics in a chemotaxis-haptotaxis system with indirect signal production;Journal of Differential Equations;2024-11

2. Boundedness of solutions to a chemotaxis–haptotaxis model with nonlocal terms;Nonlinear Differential Equations and Applications NoDEA;2024-01-06

3. Finite time blow-up in the higher dimensional parabolic-elliptic-ODE minimal chemotaxis-haptotaxis system;Journal of Differential Equations;2022-11

4. Optimal control for a chemotaxis–haptotaxis model in two space dimensions;Boundary Value Problems;2022-10-25

5. Global weak solutions in a three-dimensional two-species cancer invasion haptotaxis model without cell proliferation;Journal of Mathematical Physics;2022-09-01

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