Invasion waves for a diffusive predator–prey model with two preys and one predator
Invasion waves for a diffusive predator–prey model with two preys and one predator
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DOI：
10.1142/s1793524520500813
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发表时间：
2020
影响因子：
2.2
通讯作者：
Xianning Liu
中科院分区：
文献类型：
--
作者：
Xinzhi Ren;Tianran Zhang;Xianning Liu
In this paper, we study the existence of invasion waves of a diffusive predator–prey.model with two preys and one predator. The existence of traveling semi-fronts connecting.invasion-free equilibrium with wave speed c > c∗ is obtained by Schauder’s fixed-point.theorem, where c∗ is the minimal wave speed. The boundedness of such waves is shown.by rescaling method and such waves are proved to connect coexistence equilibrium by.LaSalle’s invariance principle. The existence of traveling front with wave speed c = c∗.is got by rescaling method and limit arguments. The non-existence of traveling fronts.with speed 0 < c < c∗ is shown by Laplace transform.
