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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/99560

    Title: Travelling wave solutions for Kolmogorov-type delayed lattice reaction–diffusion systems
    Authors: Yang, Ting-Hui;Hsu, Cheng-Hsiung;Lin, Jian-Jhong
    Contributors: 淡江大學數學學系
    Keywords: travelling wave solutions;upper–lower solution;delayed lattice reaction–diffusion systems;Kolmogorov-type
    Date: 2015-10-01
    Issue Date: 2014-11-27 06:49:33 (UTC+8)
    Publisher: Oxford University Press
    Abstract: This work investigates the existence and non-existence of travelling wave solutions for Kolmogorov-type delayed lattice reaction–diffusion systems. Employing the cross iterative technique coupled with the explicit construction of upper and lower solutions in the theory of quasimonotone dynamical systems, we can find two threshold speeds c∗ and c∗ with c∗≥c∗>0. If the wave speed is greater than c∗, then we establish the existence of travelling wave solutions connecting two different equilibria. On the other hand, if the wave speed is smaller than c∗, we further prove the non-existence result of travelling wave solutions. Finally, several ecological examples including one-species, two-species and three-species models with various functional responses and time delays are presented to illustrate the analytical results.
    Relation: IMA Journal of Applied Mathematics 80 (5), pp.1336-1367
    DOI: 10.1093/imamat/hxu054
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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