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Stability analysis and comparison of the models for carcinogenesis mutations in the case of two stages of mutations

Foryś U.

Journal of Applied Analysis

2005

Vol. 11, nr 2

283-302

The present paper is focused on the analysis of three very simple models of carcinogenesis mutations that are based on reaction-diffusion systems and Lotka-Volterra food chains. We consider the case with two stages of mutations and study the systems of three reaction-diffusion equations with zero-flux boundary conditions. We focus on the Turing instability and show that this type of instability is not possible for these models. We also propose some modifications of the considered equations. Results are illustrated by computer simulations.