Boundedness in a haptotactic cross-diffusion system modeling oncolytic virotherapy

This paper is concerned with a haptotactic cross-diffusion system as the model for oncolytic virotherapy, which describes the influence of the extracellular matrix (ECM) taxis over the tumor-oncolytic virus interaction in the form of haptotaxis of both cancer cells and oncolytic virus toward higher ECM densities. The main results assert the global boundedness of solutions to an associated spatially two-dimensional initial-boundary value problems under suitably assumptions on the system parameters.