A density-dependent chemotaxis-haptotaxis system modeling cancer invasion

作者：Tao, Youshan^*; Cui, Chun

来源：Journal of Mathematical Analysis and Applications, 2010, 367(2): 612-624.

DOI：10.1016/j.jmaa.2010.02.015

• Cancer invasion model
• Chemotaxis
• Haptotaxis
• Logistic source
• Global existence

This paper deals with a chemotaxis-haptotaxis model of cancer invasion of tissue, initially proposed by Chaplain and Lolas. The model consists of three reaction-diffusion-taxis partial differential equations describing interactions between cancer cells, matrix degrading enzymes, and the host tissue. The equation for cell density includes two bounded nonlinear density-dependent chemotactic and haptotactic sensitivity functions. In the presence of logistic damping, we prove the global existence of a unique classical solution to this model by some delicate a priori estimate techniques.

• 出版日期2010-7-15
• 单位东华大学