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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/122350


    Title: Persistence of species in a predator-prey system with climate change and either nonlocal or local dispersal
    Authors: Wonhyung Choi;Thomas Giletti;Jong-Shenq Guo
    Keywords: Persistence;Predator-prey model;Nonlocal dispersal;Climate change;Forced wave
    Date: 2021-11-25
    Issue Date: 2022-03-04 12:11:33 (UTC+8)
    Abstract: We are concerned with the persistence of both predator and prey in a diffusive predator-prey system with a climate change effect, which is modeled by a spatial-temporal heterogeneity depending on a moving variable. Moreover, we consider both the cases of nonlocal and local dispersal. In both these situations, we first prove the existence of forced waves, which are positive stationary solutions in the moving frames of the climate change, of either front or pulse type. Then we address the persistence or extinction of the prey and the predator separately in various moving frames, and achieve a complete picture in the local diffusion case. We show that the survival of the species depends crucially on how the climate change speed compares with the minimal speed of some pulse type forced waves.
    Relation: Journal of Differential Equations 302, p.807-853
    DOI: 10.1016/j.jde.2021.09.017
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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