Display Abstract
Title Traveling waves and their stability of a tumour growth model
Name Tohru T Wakasa
Country Japan
Email wakasa@mns.kyutech.ac.jp
Co-Author(s) Michiel Bertsch, Danielle Hilhorst, Hirofumi Izuhara and Masayasu Mimura
Submit Time 2014-02-28 07:20:45
Session
Special Session 33: Bifurcations and asymptotic analysis of solutions of nonlinear models
Contents
In 2010 Bertsch, Dal-Passo and Mimura has proposed a tumour growth model for populations of normal and abnormal cells. It is known that this model admit a segregated traveling wave solution, which implies contact inhibition of cells. On the other hand, it also admits a usual smooth traveling wave solutions under a suitable choice of parameters in the equations. In this talk we fill focus on the smooth traveling wave solutions and discuss their stability.
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