Global stability of traveling waves in monostable stream-population model

The stability of monotone traveling waves to a stream-population model is established in a particular weighted function space via the method of upper and lower solutions and a squeezing technique. By analyzing the behaviors of the traveling wave for a large time period under a small perturbation, we...

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Veröffentlicht in:AIMS mathematics 2024-01, Vol.9 (11), p.30745-30760
Hauptverfasser: Pan, Chaohong, Tang, Yan, Wang, Hongyong
Format: Artikel
Sprache:eng
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Zusammenfassung:The stability of monotone traveling waves to a stream-population model is established in a particular weighted function space via the method of upper and lower solutions and a squeezing technique. By analyzing the behaviors of the traveling wave for a large time period under a small perturbation, we obtain the results of the local stability. The comparison principle and the squeeze theorem also allows us to prove the global stability of the positive steady-state solutions in the special weighted function space by constructing suitable upper and lower solutions.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.20241485