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

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.

Automated summary

This paper investigates the invading phenomenon of an alien predator to the habitat of two aborigine preys through traveling waves connecting the predator-free state to the co-existence state. The minimal wave speed of this invading process is characterized using Schauder's fixed point theorem and upper-lower-solutions. New forms of upper-lower-solutions are constructed to demonstrate the existence of traveling waves for all admissible speeds.