A note for global existence of a two-dimensional chemotaxis-haptotaxis model with remodeling of non-diffusible attractant

In this paper, we study the following coupled chemotaxis-haptotaxis model with remodeling of non-diffusible attractant in a bounded smooth domain with zero-flux boundary conditions, where χ, ξ and η are positive parameters. Under appropriate regularity assumptions on the initial data , by developing...

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Published inNonlinearity Vol. 31; no. 10; pp. 4602 - 4620
Main Authors Ke, Yuanyuan, Zheng, Jiashan
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.10.2018
Subjects
chemotaxis-haptotaxis
global existence
non-diffusible attractant
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ISSN0951-7715
1361-6544
DOI10.1088/1361-6544/aad307

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Abstract In this paper, we study the following coupled chemotaxis-haptotaxis model with remodeling of non-diffusible attractant in a bounded smooth domain with zero-flux boundary conditions, where χ, ξ and η are positive parameters. Under appropriate regularity assumptions on the initial data , by developing some Lp-estimate techniques, we prove the global existence and uniqueness of classical solutions when , where μ is the logistic growth rate of cancer cells. This result removes the additional restriction on μ, where μ is sufficiently large in Pang and Wang (2017 J. Differ. Equ. 263 1269-92) for the global existence of solutions.
AbstractList In this paper, we study the following coupled chemotaxis-haptotaxis model with remodeling of non-diffusible attractant in a bounded smooth domain with zero-flux boundary conditions, where χ, ξ and η are positive parameters. Under appropriate regularity assumptions on the initial data , by developing some Lp-estimate techniques, we prove the global existence and uniqueness of classical solutions when , where μ is the logistic growth rate of cancer cells. This result removes the additional restriction on μ, where μ is sufficiently large in Pang and Wang (2017 J. Differ. Equ. 263 1269-92) for the global existence of solutions.
Author Ke, Yuanyuan
Zheng, Jiashan
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global existence
non-diffusible attractant
Title A note for global existence of a two-dimensional chemotaxis-haptotaxis model with remodeling of non-diffusible attractant
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