Existence of entire solutions for delayed monostable epidemic models

Shi Liang Wu, Cheng Hsiung Hsu

研究成果: 雜誌貢獻期刊論文同行評審

38 引文 斯高帕斯(Scopus)

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 ≥cmin and directions and a spatially independent solution, where cmin > 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.

原文???core.languages.en_GB???
頁(從 - 到)6033-6062
頁數30
期刊Transactions of the American Mathematical Society
368
發行號9
DOIs
出版狀態已出版 - 2016

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