Entire solutions originating from multiple fronts of an epidemic model with nonlocal dispersal and bistable nonlinearity

Shi Liang Wu, Guang Sheng Chen, Cheng Hsiung Hsu

研究成果: 雜誌貢獻期刊論文同行評審

4 引文 斯高帕斯(Scopus)

摘要

This paper is concerned with the entire solutions of a nonlocal dispersal epidemic model which arises from the spread of fecally–orally transmitted diseases. Under bistable assumptions, it is well-known that this model has three different types of traveling wave fronts. The annihilating-front and merging-front entire solutions originating from two fronts of the system have also been constructed in [38]. We first prove the uniqueness, Liapunov stability and continuous dependence on shift parameters of annihilating-front entire solutions obtained in [38]. A positive time-derivative estimate for such entire solution is also obtained. Then, we establish the existence of two different types of entire solutions merging three different fronts. Furthermore, we show that these entire solutions are global Lipschitz continuous with respect to the spatial variable x. To the best of our knowledge, it is the first time that the entire solutions originating from three fronts of diffusion systems have been constructed.

原文???core.languages.en_GB???
頁(從 - 到)5520-5574
頁數55
期刊Journal of Differential Equations
265
發行號11
DOIs
出版狀態已出版 - 5 12月 2018

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