Assessing effect of behaviour change on HIV/AIDS prevalence using a staged progression model
A staged progression model was proposed that is an intervention model incorporating behaviour change. Analysis of the intervention model revealed that the disease free equilibrium point is locally stable when the bifurcation parameter β < β * near R0 = 1. The endemic equilibrium point was shown t...
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| Format: | Article |
| Language: | English |
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Midlands State University
2016
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| Online Access: | http://hdl.handle.net/11408/1824 |
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| _version_ | 1779905238097985536 |
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| author | Pfupajena, Mandidayingeyi H. Mashiri, Chiedza E. Mashasha, Maxwell Mlilo, Vusimusi Gonzo, Loyce Maposa, Susan Chandiwana, Edina Mukwembi, Pauline |
| author_facet | Pfupajena, Mandidayingeyi H. Mashiri, Chiedza E. Mashasha, Maxwell Mlilo, Vusimusi Gonzo, Loyce Maposa, Susan Chandiwana, Edina Mukwembi, Pauline |
| author_sort | Pfupajena, Mandidayingeyi H. |
| collection | DSpace |
| description | A staged progression model was proposed that is an intervention model incorporating behaviour change. Analysis of the intervention model revealed that the disease free equilibrium point is locally stable when the bifurcation parameter β < β * near R0 = 1. The endemic equilibrium point was shown to be locally stable using the centre manifold theorem and a Lyapunov function was used to show that the endemic equilibrium point is globally asymptotically stable. Results suggest that positive behaviour change is effective in reducing the HIV/AIDS prevalence for the first few years suggesting that positive behaviour change alone cannot be used effectively to control or eradicate HIV/AIDS. In the case of negative behaviour it was seen that negative behaviour change negatively impacts the population greatly during the first few years of the onset of the disease. However changes in patterns of HIV prevalence in Zimbabwe and most developing countries are quite recent and caution is required on the representativeness of the estimates and to note whether the observed changes are consistent with behaviour change and not the natural course of the HIV epidemic. |
| format | Article |
| id | ir-11408-1824 |
| institution | My University |
| language | English |
| publishDate | 2016 |
| publisher | Midlands State University |
| record_format | dspace |
| spelling | ir-11408-18242022-06-27T13:49:07Z Assessing effect of behaviour change on HIV/AIDS prevalence using a staged progression model Pfupajena, Mandidayingeyi H. Mashiri, Chiedza E. Mashasha, Maxwell Mlilo, Vusimusi Gonzo, Loyce Maposa, Susan Chandiwana, Edina Mukwembi, Pauline HIV prevalence, behaviour change, endemic equilibrium, Lyapunov function A staged progression model was proposed that is an intervention model incorporating behaviour change. Analysis of the intervention model revealed that the disease free equilibrium point is locally stable when the bifurcation parameter β < β * near R0 = 1. The endemic equilibrium point was shown to be locally stable using the centre manifold theorem and a Lyapunov function was used to show that the endemic equilibrium point is globally asymptotically stable. Results suggest that positive behaviour change is effective in reducing the HIV/AIDS prevalence for the first few years suggesting that positive behaviour change alone cannot be used effectively to control or eradicate HIV/AIDS. In the case of negative behaviour it was seen that negative behaviour change negatively impacts the population greatly during the first few years of the onset of the disease. However changes in patterns of HIV prevalence in Zimbabwe and most developing countries are quite recent and caution is required on the representativeness of the estimates and to note whether the observed changes are consistent with behaviour change and not the natural course of the HIV epidemic. 2016-10-04T07:52:18Z 2016-10-04T07:52:18Z 2015 Article http://hdl.handle.net/11408/1824 en Midlands State University Journal of Science, Agriculture and Technology;Special edition; p. 75-92 open Midlands State University |
| spellingShingle | HIV prevalence, behaviour change, endemic equilibrium, Lyapunov function Pfupajena, Mandidayingeyi H. Mashiri, Chiedza E. Mashasha, Maxwell Mlilo, Vusimusi Gonzo, Loyce Maposa, Susan Chandiwana, Edina Mukwembi, Pauline Assessing effect of behaviour change on HIV/AIDS prevalence using a staged progression model |
| title | Assessing effect of behaviour change on HIV/AIDS prevalence using a staged progression model |
| title_full | Assessing effect of behaviour change on HIV/AIDS prevalence using a staged progression model |
| title_fullStr | Assessing effect of behaviour change on HIV/AIDS prevalence using a staged progression model |
| title_full_unstemmed | Assessing effect of behaviour change on HIV/AIDS prevalence using a staged progression model |
| title_short | Assessing effect of behaviour change on HIV/AIDS prevalence using a staged progression model |
| title_sort | assessing effect of behaviour change on hiv/aids prevalence using a staged progression model |
| topic | HIV prevalence, behaviour change, endemic equilibrium, Lyapunov function |
| url | http://hdl.handle.net/11408/1824 |
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