Global dynamics and spectrum comparison of a reaction-diffusion system with mass conservation

2015/11/12 by Evangelos Latos, Latos, Evangelos, Yoshihisa Morita +3
Computer Science · Mathematics · Medicine · #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Dynamics and Pattern Formation #math.AP

paper · pdf · doi:10.48550/arxiv.1511.04016

arxiv created 2015/11/12 · openalex publication_date 2015/11/12 · arxiv updated 2015/11/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study global-in-time behavior of the solution to a reaction-diffusion system with mass conservation, as proposed in the study of cell polarity, particularly, the second model of \citeoi07. First, we show global-in-time existence of solution with compact orbit and then we examine stability and instability of stationary solutions.Reaction diffusion system; mass conservation; cell polarity; global-in-time behavior; Lyapunov function.

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