Analysis of a model arising from invasion by precursor and differentiated cells

2013/01/16 by Xiaojie Hou, Hou, Xiaojie
Computer Science · Engineering · Medicine · #35K45 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1301.3546

openalex publication_date 2013/01/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the wave solutions for a degenerated reaction diffusion system arising from the invasion of cells. We show that there exists a family of waves for the wave speed larger than or equals a certain number, and below which there is no monotonic wave solutions. We also investigate the monotonicity, uniqueness and asymptotics of the waves.

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