| This paper considers a chemotaxis-haptotaxis model with a signal production term of Michaelis-Menten type.This system can be used to describe the process of caner invasion.The model consists of a 3 x 3 reaction-diffusion-taxis partial differential equations describing interactions between cancer cells,matrix degrading enzymes,and the host tissue;and it includes two bounded nonlinear density-dependent chemotactic and haptotactic sensitivity functions.Firstly,the local existence and uniqueness of solutions is proved by the fixed point theorem.Then,under the assumption that the initial data is sufficiently smooth,we prove that this system admits a unique global smooth solution which is uniformly bounded. |
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