Pulsating traveling fronts of a discrete periodic system with a quiescent stage
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Published:2024-01-06
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Volume:
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ISSN:1793-5245
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Container-title:International Journal of Biomathematics
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language:en
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Short-container-title:Int. J. Biomath.
Author:
Zhao Haiqin1ORCID,
Li Xue1
Affiliation:
1. School of Mathematics and Statistics, Xidian University, Xi’an, Shaanxi 710071, P. R. China
Abstract
In this paper, we study the pulsating traveling fronts for a spatially discrete periodic reaction–diffusion system with a quiescent stage. It is known that there exists a critical number [Formula: see text] (called minimal wave speed) such that a pulsating traveling front exists if and only if its speed is above [Formula: see text]. In this paper, we derive a uniqueness theorem for supercritical pulsating traveling fronts. Further, we show that all supercritical pulsating traveling fronts are exponentially stable.
Funder
Natural Science Basic Research Program of Shaanxi
NSF of China
Shaanxi Fundamental Science Research Project for Mathematics and Physics
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Modeling and Simulation