Global stability of traveling waves for a SIR model with nonlocal dispersal and delay

We direct our attention to the stability of traveling waves for a Susceptible-Infected-Removed model with a nonlocal dispersal and delay. Based on the weighted energy method, the globally exponential stability for non-critical waves is established, which generalizes and completes those local stabili...

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Veröffentlicht in:Journal of mathematical physics 2022-02, Vol.63 (2)
Hauptverfasser: Liu, Kai-Kai, Yang, Yun-Rui
Format: Artikel
Sprache:eng
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Zusammenfassung:We direct our attention to the stability of traveling waves for a Susceptible-Infected-Removed model with a nonlocal dispersal and delay. Based on the weighted energy method, the globally exponential stability for non-critical waves is established, which generalizes and completes those local stability results of traveling waves for scalar equations or systems without monotonicity.
ISSN:0022-2488
1089-7658
DOI:10.1063/5.0064462