Dynamics of HIV-TB Co-Infection Model
According to World Health Organization (WHO), the population suffering from human immunodeficiency virus (HIV) infection over a period of time may suffer from TB infection which increases the death rate. There is no cure for acquired immunodeficiency syndrome (AIDS) to date but antiretrovirals (ARVs...
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MDPI AG
2020-03-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/9/1/29 |
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| author | Nita H Shah Nisha Sheoran Yash Shah |
| author_facet | Nita H Shah Nisha Sheoran Yash Shah |
| author_sort | Nita H Shah |
| collection | DOAJ |
| description | According to World Health Organization (WHO), the population suffering from human immunodeficiency virus (HIV) infection over a period of time may suffer from TB infection which increases the death rate. There is no cure for acquired immunodeficiency syndrome (AIDS) to date but antiretrovirals (ARVs) can slow down the progression of disease as well as prevent secondary infections or complications. This is considered as a medication in this paper. This scenario of HIV-TB co-infection is modeled using a system of non-linear differential equations. This model considers HIV-infected individual as the initial stage. Four equilibrium points are found. Reproduction number <i>R</i><sub>0</sub> is calculated. If <i>R</i><sub>0</sub> >1 disease persists uniformly, with reference to the reproduction number, backward bifurcation is computed for pre-AIDS (latent) stage. Global stability is established for the equilibrium points where there is no Pre-AIDS TB class, point without co-infection and for the endemic point. Numerical simulation is carried out to validate the data. Sensitivity analysis is carried out to determine the importance of model parameters in the disease dynamics. |
| first_indexed | 2024-12-20T06:45:30Z |
| format | Article |
| id | doaj.art-d3cf7a7dac894909992a28fbbb0a0310 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-12-20T06:45:30Z |
| publishDate | 2020-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-d3cf7a7dac894909992a28fbbb0a03102022-12-21T19:49:43ZengMDPI AGAxioms2075-16802020-03-01912910.3390/axioms9010029axioms9010029Dynamics of HIV-TB Co-Infection ModelNita H Shah0Nisha Sheoran1Yash Shah2Department of Mathematics, Gujarat University, Ahmedabad 380009, Gujarat, IndiaDepartment of Mathematics, Gujarat University, Ahmedabad 380009, Gujarat, IndiaGCS Medical College, Ahmedabad 380054, Gujarat, IndiaAccording to World Health Organization (WHO), the population suffering from human immunodeficiency virus (HIV) infection over a period of time may suffer from TB infection which increases the death rate. There is no cure for acquired immunodeficiency syndrome (AIDS) to date but antiretrovirals (ARVs) can slow down the progression of disease as well as prevent secondary infections or complications. This is considered as a medication in this paper. This scenario of HIV-TB co-infection is modeled using a system of non-linear differential equations. This model considers HIV-infected individual as the initial stage. Four equilibrium points are found. Reproduction number <i>R</i><sub>0</sub> is calculated. If <i>R</i><sub>0</sub> >1 disease persists uniformly, with reference to the reproduction number, backward bifurcation is computed for pre-AIDS (latent) stage. Global stability is established for the equilibrium points where there is no Pre-AIDS TB class, point without co-infection and for the endemic point. Numerical simulation is carried out to validate the data. Sensitivity analysis is carried out to determine the importance of model parameters in the disease dynamics.https://www.mdpi.com/2075-1680/9/1/29co-infection of hiv-tbequilibrium pointreproduction numberstability analysisbackward bifurcation |
| spellingShingle | Nita H Shah Nisha Sheoran Yash Shah Dynamics of HIV-TB Co-Infection Model Axioms co-infection of hiv-tb equilibrium point reproduction number stability analysis backward bifurcation |
| title | Dynamics of HIV-TB Co-Infection Model |
| title_full | Dynamics of HIV-TB Co-Infection Model |
| title_fullStr | Dynamics of HIV-TB Co-Infection Model |
| title_full_unstemmed | Dynamics of HIV-TB Co-Infection Model |
| title_short | Dynamics of HIV-TB Co-Infection Model |
| title_sort | dynamics of hiv tb co infection model |
| topic | co-infection of hiv-tb equilibrium point reproduction number stability analysis backward bifurcation |
| url | https://www.mdpi.com/2075-1680/9/1/29 |
| work_keys_str_mv | AT nitahshah dynamicsofhivtbcoinfectionmodel AT nishasheoran dynamicsofhivtbcoinfectionmodel AT yashshah dynamicsofhivtbcoinfectionmodel |