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    NCU Institutional Repository > 理學院 > 數學系 > 期刊論文 >  Item 987654321/109221


    請使用永久網址來引用或連結此文件: https://ir.lib.ncu.edu.tw/handle/987654321/109221


    題名: Global attractivity, spreading speeds and traveling waves of delayed nonlocal reaction-diffusion systems
    作者: 許正雄;Wu, Shi-Liang;Hsu, Cheng-Hsiung;Xiao, Yanyu
    貢獻者: 理學院數學系
    關鍵詞: Global attractivity;Minimal wave speed;Spreading speed;Time delay and nonlocality;Traveling wave solution
    日期: 2015-01-01
    上傳時間: 2026-04-23 16:16:25 (UTC+8)
    出版者: Academic Press Inc.;Elsevier Inc
    摘要: 摘要: The purpose of this work is to study the spatial dynamics of some delayed nonlocal reaction–diffusion systems in whole space. We first establish a series of comparison theorems to investigate the global attractivity of the equilibria for a delayed nonlocal reaction–diffusion system with and without quasi-monotonicity. Then we show that the spreading speed of a general system without quasi-monotone conditions is coincident with the minimal wave speed. Applying a fluctuation method, we further provide some sufficient conditions to ensure the upward convergence of the spreading speed and traveling wave solutions. Finally, we point out the effects of the delay and nonlocality on the spreading speed of the non-quasi-monotone systems.
    出版者: Elsevier Inc
    出版日期: 2015-02-15
    出處: Journal of Differential Equations, 2015-02, Vol.258 (4), p.1058-1105
    資源來源: Elsevier ScienceDirect Journals Complete
    版權: 2014 Elsevier Inc.
    識別號: ISSN: 0022-0396
    識別號: EISSN: 1090-2732
    識別號: DOI: 10.1016/j.jde.2014.10.009
    顯示於類別:[數學系] 期刊論文

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