Enhancing reservoir control in the co-dynamics of HIV-VL: from mathematical modeling perspective
Abstract HIV patients are vulnerable to developing active visceral leishmaniasis (VL). To understand this complication, we studied a mathematical model for HIV and visceral leishmaniasis coinfection. In this approach, we reckoned two distinct equilibria: the disease-free and the endemic equilibria....
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-09-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13662-021-03584-6 |
| _version_ | 1819117932359188480 |
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| author | Zinabu Teka Melese Haileyesus Tessema Alemneh |
| author_facet | Zinabu Teka Melese Haileyesus Tessema Alemneh |
| author_sort | Zinabu Teka Melese |
| collection | DOAJ |
| description | Abstract HIV patients are vulnerable to developing active visceral leishmaniasis (VL). To understand this complication, we studied a mathematical model for HIV and visceral leishmaniasis coinfection. In this approach, we reckoned two distinct equilibria: the disease-free and the endemic equilibria. The local and global stability of the disease-free equilibrium were thoroughly investigated. To further support the qualitative findings, we performed simulations to quantify the changes of the dynamical behavior of the full model for variation of relevant parameters. Increasing the rate of VL recovery ( ϕ 1 $\phi _{1}$ ), the recovery rate for VL–HIV Co-infection ( ϕ 2 $\phi _{2}$ ), removing reservoirs ( c 1 $c_{1}$ ), minimizing the contact rate ( β h $\beta _{h}$ ) are important in controlling the transmission of individual and co-infection disease of VL and HIV. In conclusion, possible measures should be implemented to reduce the number of infected individuals. Therefore, we recommend that policy makers and stakeholders incorporate these measures during planing and implementation phases to control the transmission of VL–HIV co-infection. |
| first_indexed | 2024-12-22T05:40:50Z |
| format | Article |
| id | doaj.art-8ea069cd27ba45aa83686630ee9134aa |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-22T05:40:50Z |
| publishDate | 2021-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-8ea069cd27ba45aa83686630ee9134aa2022-12-21T18:37:12ZengSpringerOpenAdvances in Difference Equations1687-18472021-09-012021112010.1186/s13662-021-03584-6Enhancing reservoir control in the co-dynamics of HIV-VL: from mathematical modeling perspectiveZinabu Teka Melese0Haileyesus Tessema Alemneh1Department of Statistics, College of Natural and Computational Sciences, University of GondarDepartment of Mathematics, College of Natural and Computational Sciences, University of GondarAbstract HIV patients are vulnerable to developing active visceral leishmaniasis (VL). To understand this complication, we studied a mathematical model for HIV and visceral leishmaniasis coinfection. In this approach, we reckoned two distinct equilibria: the disease-free and the endemic equilibria. The local and global stability of the disease-free equilibrium were thoroughly investigated. To further support the qualitative findings, we performed simulations to quantify the changes of the dynamical behavior of the full model for variation of relevant parameters. Increasing the rate of VL recovery ( ϕ 1 $\phi _{1}$ ), the recovery rate for VL–HIV Co-infection ( ϕ 2 $\phi _{2}$ ), removing reservoirs ( c 1 $c_{1}$ ), minimizing the contact rate ( β h $\beta _{h}$ ) are important in controlling the transmission of individual and co-infection disease of VL and HIV. In conclusion, possible measures should be implemented to reduce the number of infected individuals. Therefore, we recommend that policy makers and stakeholders incorporate these measures during planing and implementation phases to control the transmission of VL–HIV co-infection.https://doi.org/10.1186/s13662-021-03584-6VLHIVCo-infectionMathematical modelStability analysisNumerical simulation |
| spellingShingle | Zinabu Teka Melese Haileyesus Tessema Alemneh Enhancing reservoir control in the co-dynamics of HIV-VL: from mathematical modeling perspective Advances in Difference Equations VL HIV Co-infection Mathematical model Stability analysis Numerical simulation |
| title | Enhancing reservoir control in the co-dynamics of HIV-VL: from mathematical modeling perspective |
| title_full | Enhancing reservoir control in the co-dynamics of HIV-VL: from mathematical modeling perspective |
| title_fullStr | Enhancing reservoir control in the co-dynamics of HIV-VL: from mathematical modeling perspective |
| title_full_unstemmed | Enhancing reservoir control in the co-dynamics of HIV-VL: from mathematical modeling perspective |
| title_short | Enhancing reservoir control in the co-dynamics of HIV-VL: from mathematical modeling perspective |
| title_sort | enhancing reservoir control in the co dynamics of hiv vl from mathematical modeling perspective |
| topic | VL HIV Co-infection Mathematical model Stability analysis Numerical simulation |
| url | https://doi.org/10.1186/s13662-021-03584-6 |
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