Lower bounds for the finite-time blow-up of solutions of a cancer invasion model

摘要

In this article, we consider non-negative solutions of the nonlinear cancer invasion mathematical model involving proliferation and growth functions with homogeneous Neumann and Robin type boundary conditions. We first obtain lower bounds for the finite time blow-up of solutions in R3 with assumed boundary conditions. Finally, we extend the blow-up results of the given system in R2 using first-order differential inequality techniques and under appropriate assumptions on data.