Global existence of classical solutions to a chemotaxis-haptotaxis model

Jozil Takhirov ()

Partial Differential Equations and Applications, 2021, vol. 2, issue 1, 1-15

Abstract: Abstract This paper deals with a chemotaxis-haptotaxis model of cancer invasion of tissue. The model consists of three parabolic chemotaxis-haptotaxis PDEs describing interactions between cancer cells, matrix degrading enzymes and the host tissue. We prove the global existence and uniform boundedness in this competition system by some delicate a priori estimate techniques.

Keywords: Chemotaxis; Haptotaxis; Nonlinear diffusion; Boundedness; Global existence; 35K55; 35B40; 32C17 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s42985-021-00069-9

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