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arXiv · 2306.00713

A sufficient condition on successful invasion by the predator

Hongliang Li·Min Zhao·Rong Yuan
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Abstract

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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Hongliang Li, Min Zhao, Rong Yuan. 2023-06-01. A sufficient condition on successful invasion by the predator. https://arxiv.org/abs/2306.00713

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