Traveling wave solutions for a three-species predator-prey model with two aborigine preys

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Title:	Traveling wave solutions for a three-species predator-prey model with two aborigine preys
Authors:	Yu-Shuo Chen;Jong-Shenq Guo
Keywords:	Predator–prey model;Traveling wave;Wave speed;upper–lower-solution
Date:	2020-09-22
Issue Date:	2021-09-24 12:12:07 (UTC+8)
Abstract:	In this paper, we study the invading phenomenon of an alien predator to the habitat of two aborigine preys by traveling waves connecting the predator-free state to the co-existence state. We characterize the minimal wave speed of this invading process based on an application of Schauder’s fixed point theorem with the help of (generalized) upper-lower-solutions. New form of upper-lower-solutions are constructed to derive the existence of traveling waves for all admissible speeds.
Relation:	Japan Journal of Industrial and Applied Mathematics 38, p.455-471
DOI:	10.1007/s13160-020-00445-9
Appears in Collections:	[Department of Applied Mathematics and Data Science] Journal Article

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