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    jsp.display-item.identifier=請使用永久網址來引用或連結此文件: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/122351

    题名: Stabilization to a positive equilibrium for some reaction-diffusion systems
    作者: Guo, Jong-Shenq;Shimojo, Masahiko
    关键词: Stabilization;Equilibrium;Reaction–diffusion system;Entire solution;Lyapunov functional
    日期: 2021-12
    上传时间: 2022-03-04 12:11:35 (UTC+8)
    摘要: The aim of this paper is to study the asymptotic behavior of solutions for some reaction–diffusion systems in biology. First, we establish a Liouville type theorem for entire solutions of these reaction–diffusion systems. Based on this theorem, we derive the stabilization of the solutions of the reaction–diffusion system to the unique positive constant state, under the condition that this positive constant state is globally stable in the corresponding kinetic systems. Two specific examples about spreading phenomena from ecology and epidemiology are given to illustrate the application of this theory.
    關聯: Nonlinear Analysis: Real World Applications 62, 103378
    DOI: 10.1016/j.nonrwa.2021.103378
    显示于类别:[數學學系暨研究所] 期刊論文


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