Existence of wave solutions of a glioma model in a porous medium

We study the glioma model with continuous chemotherapy administered to tumours evolving not only due to proliferation, but also due to the diffusion process. We consider model with non-linear diffusion describing motility in a porous medium with a logistic source term. Our motivation for this approach came from the fact that low grade gliomas grow very slowly, so it is less possible to find the tumor cells far from the tumor bulk.

Note: this will be a working seminar.