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

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2021 by IJMTT Journal
Volume-67 Issue-6
Year of Publication : 2021
Authors : Yongle Fu
  10.14445/22315373/IJMTT-V67I6P502

MLA

MLA Style: Yongle Fu  "Analysis of An Age-Infection-Structured HIV Model With Impulsive Finding" International Journal of Mathematics Trends and Technology 67.6 (2021):21-26. 

APA Style: Yongle Fu(2021). Analysis of An Age-Infection-Structured HIV Model With Impulsive Finding International Journal of Mathematics Trends and Technology, 21-26.

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.

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