Existence of entire solutions for delayed monostable epidemic models

Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/109203

Title:	Existence of entire solutions for delayed monostable epidemic models
Authors:	許正雄;Wu, Shi-Liang;Hsu, Cheng-Hsiung
Contributors:	理學院數學系
Keywords:	Research article
Date:	2016-01-01
Issue Date:	2026-04-23 16:15:06 (UTC+8)
Publisher:	American Mathematical Society;Providence, Rhode Island: American Mathematical Society
Abstract:	摘要： The purpose of this work is to study the existence of entire solutions for delayed monostable epidemic models with and without the quasi-monotone condition. In the quasi-monotone case, we first establish the comparison principle and construct appropriate sub-solutions and upper estimates. Then the existence and qualitative features of entire solutions are proved by mixing any finite number of traveling wave fronts with different speeds c≥cminc\geq c_{\min } and directions and a spatially independent solution, where cmin>0c_{\min }>0 is the critical wave speed. In the non-quasi-monotone case, some new types of entire solutions are constructed by using the traveling wave fronts and spatially independent solutions of two auxiliary quasi-monotone systems and a comparison theorem for the Cauchy problems of the three systems. 其他題名： Trans. Amer. Math. Soc 出版者： Providence, Rhode Island: American Mathematical Society 出版日期： 2016-09-01 出處： Transactions of the American Mathematical Society, 2016-09, Vol.368 (9), p.6033-6062 資源來源： JSTOR scholarly archive 版權： Copyright 2015 American Mathematical Society 版權： 2016 American Mathematical Society 識別號： ISSN: 0002-9947 識別號： ISSN: 1088-6850 識別號： EISSN: 1088-6850 識別號： DOI: 10.1090/tran/6526
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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