Finite-time blow-up of solutions to a cancer invasion mathematical model with haptotaxis effects

Abstract

This paper considers the nonlinear system of cancer invasion model with haptotaxis effects in a bounded domain Ω⊂Rn under the homogeneous Neumann and Robin type boundary conditions. This model also includes the growth and decay effects of cancer cells, normal cells and matrix degrading enzymes. This study devoted to estimate the lower bounds for the finite time blow up of non-negative solutions of the given cancer invasion system using first order differential inequality techniques and certain inequalities.