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A sufficient condition on successful invasion by the predator
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A sufficient condition on successful invasion by the predator
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math.AP
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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