Modeling TB-HIV Syndemic and Treatment
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...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/248407 |
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| _version_ | 1832547538154029056 |
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| author | Cristiana J. Silva Delfim F. M. Torres |
| author_facet | Cristiana J. Silva Delfim F. M. Torres |
| author_sort | Cristiana J. Silva |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e66249eebc944960914aa97f26a62b10 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-e66249eebc944960914aa97f26a62b102025-02-03T06:44:32ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/248407248407Modeling TB-HIV Syndemic and TreatmentCristiana J. Silva0Delfim F. M. Torres1Center for Research and Development in Mathematics and Applications (CIDMA), Department of Mathematics, University of Aveiro, 3810-193 Aveiro, PortugalCenter for Research and Development in Mathematics and Applications (CIDMA), Department of Mathematics, University of Aveiro, 3810-193 Aveiro, PortugalTuberculosis (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.http://dx.doi.org/10.1155/2014/248407 |
| spellingShingle | Cristiana J. Silva Delfim F. M. Torres Modeling TB-HIV Syndemic and Treatment Journal of Applied Mathematics |
| title | Modeling TB-HIV Syndemic and Treatment |
| title_full | Modeling TB-HIV Syndemic and Treatment |
| title_fullStr | Modeling TB-HIV Syndemic and Treatment |
| title_full_unstemmed | Modeling TB-HIV Syndemic and Treatment |
| title_short | Modeling TB-HIV Syndemic and Treatment |
| title_sort | modeling tb hiv syndemic and treatment |
| url | http://dx.doi.org/10.1155/2014/248407 |
| work_keys_str_mv | AT cristianajsilva modelingtbhivsyndemicandtreatment AT delfimfmtorres modelingtbhivsyndemicandtreatment |