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

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

doi:10.1090/proc/16036

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

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

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	4867-4877
Number of pages	11
Journal	Proceedings of the American Mathematical Society
Volume	150
Issue number	11
DOIs	https://doi.org/10.1090/proc/16036
State	Published - 1 Nov 2022

Keywords

Basic reproduction number
HIV infection model
Nonlocal dispersal
Traveling wave
Two-sided Laplace transform

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1090/proc/16036

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abstract = "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.",

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AU - Zhou, Jinling

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AB - 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.

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KW - HIV infection model

KW - Nonlocal dispersal

KW - Traveling wave

KW - Two-sided Laplace transform

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

Abstract

Keywords

UN SDGs

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