Existence and stability of traveling wave fronts for discrete three species competitive-cooperative systems

Cheng Hsiung Hsu, Jian Jhong Lin, Shi Liang Wu

研究成果: 雜誌貢獻期刊論文同行評審

摘要

The purpose of this work is to investigate the existence and stability of traveling wavefronts for competitive-cooperative systems with three species. The existence result can be derived by using the technique of monotone method with the help of a pair of explicit supersolution and subsolution. Moreover, some sufficient conditions ensure the linear determinacy for the minimal speed is given. Then, applying the weighted energy method, we prove that the traveling wavefronts are asymptotically stable in the weighted Banach spaces provided that the initial perturbations of the traveling wavefronts also belong to the same spaces.

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頁(從 - 到)4151-4181
頁數31
期刊Mathematical Biosciences and Engineering
16
發行號5
DOIs
出版狀態已出版 - 2019

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