# American Institute of Mathematical Sciences

2015, 2015(special): 733-744. doi: 10.3934/proc.2015.0733

## Global existence and asymptotic behaviour of solutions for nonlinear evolution equations related to a tumour invasion model

 1 Department of Mathematics, School of Health Sciences, Fujita Health University, Toyoake, Aichi 470-1192 2 School of Health Sciences, Fujita Health University, Toyoake, Aichi 470-1192, Japan, Japan

Received  September 2014 Revised  January 2015 Published  November 2015

We study the global existence in time and asymptotic behaviour of solutions of nonlinear evolution equations with strong dissipation and proliferation terms arising in mathematical models of biology and medicine including tumour invasion models.
Citation: Akisato Kubo, Hiroki Hoshino, Katsutaka Kimura. Global existence and asymptotic behaviour of solutions for nonlinear evolution equations related to a tumour invasion model. Conference Publications, 2015, 2015 (special) : 733-744. doi: 10.3934/proc.2015.0733
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