A sufficient condition on successful invasion by the predator

Hongliang Li; Min Zhao; Rong Yuan

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A sufficient condition on successful invasion by the predator

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arxiv 2306.00713 v1 pith:2TJVR4AV submitted 2023-06-01 math.AP

Hongliang Li , Min Zhao , Rong Yuan This is my paper · ORCID

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keywords predatorconditioninvasionsuccessfulsufficientanalysiscomparisondepends

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In this paper, we provide a sufficient condition on successful invasion by the predator. Specially, we obtain the persistence of traveling wave solutions of predator-prey system, in which the predator can survive without the predation of the prey. This proof heavily depends on comparison principle of scalar monostable equation, the rescaling method and phase-plane analysis.

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