Journal of Applied Mathematics

  • J. Appl. Math.
  • Volume 2014, Special Issue (2014), Article ID 248407, 14 pages.

Modeling TB-HIV Syndemic and Treatment

Cristiana J. Silva and Delfim F. M. Torres

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Abstract

Tuberculosis (TB) and human immunodeficiency virus (HIV) can be considered a deadly human syndemic. In this paper, we formulate a model for TB and HIV transmission dynamics. The model considers both TB and acquired immune deficiency syndrome (AIDS) treatment for individuals with only one of the two infectious diseases or both. The basic reproduction number and equilibrium points are determined and stability is analyzed. Through simulations, we show that TB treatment for individuals with only TB infection reduces the number of individuals that become coinfected with TB and HIV/AIDS and reduces the diseases (TB and AIDS) induced deaths. Analogously, the treatment of individuals with only AIDS also reduces the number of coinfected individuals. Further, TB treatment for coinfected individuals in the active and latent stage of TB disease implies a decrease of the number of individuals that passes from HIV-positive to AIDS.

Article information

Source
J. Appl. Math., Volume 2014, Special Issue (2014), Article ID 248407, 14 pages.

Dates
First available in Project Euclid: 1 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.jam/1412178103

Digital Object Identifier
doi:10.1155/2014/248407

Citation

Silva, Cristiana J.; Torres, Delfim F. M. Modeling TB-HIV Syndemic and Treatment. J. Appl. Math. 2014, Special Issue (2014), Article ID 248407, 14 pages. doi:10.1155/2014/248407. https://projecteuclid.org/euclid.jam/1412178103


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