Stability analysis of an HIV/AIDS epidemic model with sexual transmission in a patchy environment
ABSTRACTA multi-patch HIV/AIDS model with heterosexual transmission is formulated to investigate the impact of population migration on the spread of HIV/AIDS. We derive the basic reproduction number [Formula: see text] and prove that if [Formula: see text], the disease-free equilibrium is globally a...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2023-12-01
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| Series: | Journal of Biological Dynamics |
| Subjects: | |
| Online Access: | https://www.tandfonline.com/doi/10.1080/17513758.2023.2227216 |
| _version_ | 1827362843820818432 |
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| author | Juping Zhang Xueyan Ma Zhen Jin |
| author_facet | Juping Zhang Xueyan Ma Zhen Jin |
| author_sort | Juping Zhang |
| collection | DOAJ |
| description | ABSTRACTA multi-patch HIV/AIDS model with heterosexual transmission is formulated to investigate the impact of population migration on the spread of HIV/AIDS. We derive the basic reproduction number [Formula: see text] and prove that if [Formula: see text], the disease-free equilibrium is globally asymptotically stable. If [Formula: see text] and certain conditions are satisfied, the endemic equilibrium is globally asymptotically stable. We apply the model to two patches and conduct numerical simulations. If HIV/AIDS becomes extinct in each patch when two patches are isolated, the disease remains extinct in two patches when the population migration occurs; if HIV/AIDS spreads in each patch when two patches are isolated, the disease remains persistent in two patches when the population migration occurs; if the disease disappears in one patch and spreads in the other patch when they are isolated, the disease can spread or disappear in two patches if migration rates of individuals are suitably chosen. |
| first_indexed | 2024-03-08T07:36:22Z |
| format | Article |
| id | doaj.art-9119cb6633b14a99b6c87d0f389442f5 |
| institution | Directory Open Access Journal |
| issn | 1751-3758 1751-3766 |
| language | English |
| last_indexed | 2024-03-08T07:36:22Z |
| publishDate | 2023-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Journal of Biological Dynamics |
| spelling | doaj.art-9119cb6633b14a99b6c87d0f389442f52024-02-02T18:51:34ZengTaylor & Francis GroupJournal of Biological Dynamics1751-37581751-37662023-12-0117110.1080/17513758.2023.2227216Stability analysis of an HIV/AIDS epidemic model with sexual transmission in a patchy environmentJuping Zhang0Xueyan Ma1Zhen Jin2Complex Systems Research Center, Shanxi University, Taiyuan, People's Republic of ChinaComplex Systems Research Center, Shanxi University, Taiyuan, People's Republic of ChinaComplex Systems Research Center, Shanxi University, Taiyuan, People's Republic of ChinaABSTRACTA multi-patch HIV/AIDS model with heterosexual transmission is formulated to investigate the impact of population migration on the spread of HIV/AIDS. We derive the basic reproduction number [Formula: see text] and prove that if [Formula: see text], the disease-free equilibrium is globally asymptotically stable. If [Formula: see text] and certain conditions are satisfied, the endemic equilibrium is globally asymptotically stable. We apply the model to two patches and conduct numerical simulations. If HIV/AIDS becomes extinct in each patch when two patches are isolated, the disease remains extinct in two patches when the population migration occurs; if HIV/AIDS spreads in each patch when two patches are isolated, the disease remains persistent in two patches when the population migration occurs; if the disease disappears in one patch and spreads in the other patch when they are isolated, the disease can spread or disappear in two patches if migration rates of individuals are suitably chosen.https://www.tandfonline.com/doi/10.1080/17513758.2023.2227216Multi-patchHIV/AIDSmigrationbasic reproduction numberequilibrium34D20 |
| spellingShingle | Juping Zhang Xueyan Ma Zhen Jin Stability analysis of an HIV/AIDS epidemic model with sexual transmission in a patchy environment Journal of Biological Dynamics Multi-patch HIV/AIDS migration basic reproduction number equilibrium 34D20 |
| title | Stability analysis of an HIV/AIDS epidemic model with sexual transmission in a patchy environment |
| title_full | Stability analysis of an HIV/AIDS epidemic model with sexual transmission in a patchy environment |
| title_fullStr | Stability analysis of an HIV/AIDS epidemic model with sexual transmission in a patchy environment |
| title_full_unstemmed | Stability analysis of an HIV/AIDS epidemic model with sexual transmission in a patchy environment |
| title_short | Stability analysis of an HIV/AIDS epidemic model with sexual transmission in a patchy environment |
| title_sort | stability analysis of an hiv aids epidemic model with sexual transmission in a patchy environment |
| topic | Multi-patch HIV/AIDS migration basic reproduction number equilibrium 34D20 |
| url | https://www.tandfonline.com/doi/10.1080/17513758.2023.2227216 |
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