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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/121319

    Title: Traveling wave solutions for a three-species predator-prey model with two aborigine preys
    Authors: Chen, Yu-Shuo;Guo, Jong-Shenq
    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 J. Indust. Appl. Math. 38, p.455-471
    DOI: 10.1007/s13160-020-00445-9
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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