A NOTE ON THE PROPAGATION DYNAMICS IN A NONLOCAL DISPERSAL HIV INFECTION MODEL

Yu Yang, Cheng Hsiung Hsu, Lan Zou, Jinling Zhou

研究成果: 雜誌貢獻期刊論文同行評審

摘要

This paper is concerned with propagation dynamics in a nonlocal dispersal HIV infection model. The existence and asymptotic behavior of traveling waves with wave speeds not less than a critical speed were derived in the recent work of Wang and Ma [J. Math. Anal. Appl. 457 (2018), pp. 868–889]. However, the asymptotic behavior of the critical traveling wave and minimum wave speed were not clarified completely. In this article, we first affirm the asymptotic behavior of the critical traveling wave at negative infinity. Then we prove the non-existence of traveling waves when either the basic reproduction number R0 < 1 or the wave speed is less than the critical spreed and R0 > 1. Our result provides a complete complement for the wave propagation in the infection model.

原文???core.languages.en_GB???
頁(從 - 到)4867-4877
頁數11
期刊Proceedings of the American Mathematical Society
150
發行號11
DOIs
出版狀態已出版 - 1 11月 2022

指紋

深入研究「A NOTE ON THE PROPAGATION DYNAMICS IN A NONLOCAL DISPERSAL HIV INFECTION MODEL」主題。共同形成了獨特的指紋。

引用此