A sufficient condition on successful invasion by the predator
Analysis of PDEs
2023-06-02 v1
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.
Keywords
Cite
@article{arxiv.2306.00713,
title = {A sufficient condition on successful invasion by the predator},
author = {Hongliang Li and Min Zhao and Rong Yuan},
journal= {arXiv preprint arXiv:2306.00713},
year = {2023}
}