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A nonlinear parabolic-hyperbolic system for contact inhibition and a degenerate parabolic fisher kpp equation

A nonlinear parabolic-hyperbolic system for contact inhibition and a degenerate parabolic fisher kpp equation

We consider a mathematical model describing population dynamics of normal and abnormal cell densities with contact inhibition of cell growth from a theoretical point of view. In the first part of this paper, we discuss the global existence of a solution satisfying the segregation property in one space dimension for …