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Updated: Jan 19, 2026
BIBO stability of continuous and discrete -time systems
Existence and stability of traveling wavefronts for discrete three species competitive-cooperative systems
Cheng-Hsiung Hsu1, Jian-Jhong Lin2, Shi-Liang Wu3
1Department of Mathematics, National Central University, Chungli 32001, Taiwan.
Abstract:
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 su cient 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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