| Abstract: |
| In this talk, we consider a triply haptotactic cross-diffusion system, which is proposed to describe the interaction among uninfected cancer cells, infected cancer cells, extracellular matrix (ECM) and oncolytic virus particles in oncolytic virotherapy. Our main result asserts that, in the two dimensional domain, an associated initial-boundary value problem has a unique classical solution, which exists globally and is uniformly bounded under suitable assumptions on the parameters and initial data of the system. |
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