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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 6 | Year 2021 | Article Id. IJMTT-V67I6P502 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I6P502

Analysis of An Age-Infection-Structured HIV Model With Impulsive Finding


Yongle Fu
Abstract

This paper develops an impulsive SUI model with infection age for HIV. Firstly the basic reproduction number, which depends on the impulsive HIV-finding period and the HIV-finding proportion, is obtained by mathematical analysis. Secondly there exists a globally asymptotically stable infection- free equilibrium when the basic reproduction number is less than one. Therefore the HIV epidemic is theoretically cleared if we have the suitable HIV-finding proportion and the impulsive HIV-finding period such that the basic reproduction number is less than one.

Keywords
Basic reproduction number, Global stablity, HIV/AIDS, Impulsive period, Infection age
References

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Citation :

Yongle Fu, "Analysis of An Age-Infection-Structured HIV Model With Impulsive Finding," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 6, pp. 21-26, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I6P502

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