Global Stability of Traveling Wave Fronts for a Population Dynamics Model with Quiescent Stage and Delay

2020/11/25 by Yonghui Zhou, Zhou, Yonghui, Shuguan Ji +1
Mathematics · Medicine · #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.2011.12705

openalex publication_date 2020/11/25 · openalex created_date 2022/07/18 · openalex updated_date 2026/07/28

Abstract

This paper is concerned with the globally exponential stability of traveling wave fronts for a class of population dynamics model with quiescent stage and delay. First, we establish the comparison principle of solutions for the population dynamics model. Then, by the weighted energy method combining comparison principle, the globally exponential stability of traveling wave fronts of the population dynamics model under the quasi-monotonicity conditions is established.

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