Global attractivity, spreading speeds and traveling waves of delayed nonlocal reaction-diffusion systems

Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/109221

Title:	Global attractivity, spreading speeds and traveling waves of delayed nonlocal reaction-diffusion systems
Authors:	許正雄;Wu, Shi-Liang;Hsu, Cheng-Hsiung;Xiao, Yanyu
Contributors:	理學院數學系
Keywords:	Global attractivity;Minimal wave speed;Spreading speed;Time delay and nonlocality;Traveling wave solution
Date:	2015-01-01
Issue Date:	2026-04-23 16:16:25 (UTC+8)
Publisher:	Academic Press Inc.;Elsevier Inc
Abstract:	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
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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