Traveling wave for a time-periodic Lotka-Volterra model with bistable nonlinearity

This paper studies bistable wavefronts of a diffusive time-periodic Lotka-Volterra system. We obtain a new condition for the existence, uniqueness and stability of bistable time-periodic traveling waves. This condition is sharp and greatly improves the result established in the reference (X. Bao and...

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Bibliographic Details
Published inApplied Mathematics-A Journal of Chinese Universities Vol. 37; no. 3; pp. 396 - 403
Main Authors Yue, Jia-jun, Ma, Man-jun, Ou, Chun-hua
Format Journal Article
LanguageEnglish
Published Singapore Springer Nature Singapore 01.09.2022
Springer Nature B.V
Subjects
Applications of Mathematics
Differential equations
Mathematics
Mathematics and Statistics
Traveling waves
Wave fronts
bistable traveling wave
92D25
Lotka-Volterra model
35B20
existence and uniqueness
35K57
stability
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Summary:This paper studies bistable wavefronts of a diffusive time-periodic Lotka-Volterra system. We obtain a new condition for the existence, uniqueness and stability of bistable time-periodic traveling waves. This condition is sharp and greatly improves the result established in the reference (X. Bao and Z. Wang, Journal of Differential Equations, 255(2013) 2402–2435). An example is given to demonstrate our consequence.
ISSN:1005-1031
1993-0445
DOI:10.1007/s11766-022-4139-9