CRITICAL TRAVELING WAVE SOLUTIONS FOR A VACCINATION MODEL WITH GENERAL INCIDENCE

Yu Yang, Jinling Zhou, Cheng Hsiung Hsu

研究成果: 雜誌貢獻期刊論文同行評審

1 引文 斯高帕斯(Scopus)

摘要

This paper is concerned with the existence of traveling wave solutions for a vaccination model with general incidence. The existence or nonexistence of traveling wave solutions for the model with specific incidence were proved recently when the wave speed is greater or smaller than a critical speed respectively. However, the existence of critical traveling wave solutions (with critical wave speed) was still open. In this paper, applying the Schauder’s fixed point theorem via a pair of upper- and lower-solutions of the system, we show that the general vaccination model admits positive critical traveling wave solutions which connect the disease-free and endemic equilibria. Our result not only gives an affirmative answer to the open problem given in the previous specific work, but also to the model with general incidence. Furthermore, we extend our result to some nonlocal version of the considered model.

原文???core.languages.en_GB???
頁(從 - 到)1209-1225
頁數17
期刊Discrete and Continuous Dynamical Systems - Series B
27
發行號3
DOIs
出版狀態已出版 - 3月 2022

指紋

深入研究「CRITICAL TRAVELING WAVE SOLUTIONS FOR A VACCINATION MODEL WITH GENERAL INCIDENCE」主題。共同形成了獨特的指紋。

引用此