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Blow-Up Phenomena of a Cancer Invasion Model with Nonlinear Diffusion and Haptotaxis Term

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In this paper, we consider a nonlinear cancer invasion mathematical model with proliferation, growth and haptotaxis effects. We obtain lower bounds for the finite-time blow-up of solutions of the considered… Click to show full abstract

In this paper, we consider a nonlinear cancer invasion mathematical model with proliferation, growth and haptotaxis effects. We obtain lower bounds for the finite-time blow-up of solutions of the considered system with nonlinear diffusion operator when blow-up occurs. We have assumed both the Dirichlet and Neumann boundary conditions in $${\mathbb {R}}^n, n\ge 2$$ to attain the desire result.

Keywords: blow; model; cancer invasion; nonlinear diffusion

Journal Title: Bulletin of the Malaysian Mathematical Sciences Society
Year Published: 2020

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