A Computational Study of HSV-2 with Poor Treatment Adherence
Herpes simplex virus type 2 (HSV-2) is the most prevalent sexually transmitted disease worldwide, despite the availability of highly effective antiviral treatments. In this paper, a basic mathematical model for the spread of HSV-2 incorporating all the relevant biological details and poor treatment...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/850670 |
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| author | A. Mhlanga C. P. Bhunu S. Mushayabasa |
| author_facet | A. Mhlanga C. P. Bhunu S. Mushayabasa |
| author_sort | A. Mhlanga |
| collection | DOAJ |
| description | Herpes simplex virus type 2 (HSV-2) is the most prevalent sexually transmitted disease worldwide, despite the availability of highly effective antiviral treatments. In this paper, a basic mathematical model for the spread of HSV-2 incorporating all the relevant biological details and poor treatment adherence is proposed and analysed. Equilibrium states of the model are determined and their stability has been investigated. The basic model is then extended to incorporate a time dependent intervention strategy. The aim of the control is tied to reducing the rate at which HSV-2 patients in treatment quit therapy before completion. Practically, this control can be implemented through monitoring and counselling all HSV-2 patients in treatment. The Pontryagin’s maximum principle is used to characterize the optimal level of the control, and the resulting optimality system is solved numerically. Overall, the study demonstrates that though time dependent control will be effective on controlling new HSV-2 cases it may not be sustainable for certain time intervals. |
| format | Article |
| id | doaj-art-ea6e7b2332ef42648efa869e7e0e572d |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-ea6e7b2332ef42648efa869e7e0e572d2025-08-20T02:21:54ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/850670850670A Computational Study of HSV-2 with Poor Treatment AdherenceA. Mhlanga0C. P. Bhunu1S. Mushayabasa2Department of Mathematics, University of Zimbabwe, P.O. Box MP 167, Mount Pleasant, Harare, ZimbabweDepartment of Mathematics, University of Zimbabwe, P.O. Box MP 167, Mount Pleasant, Harare, ZimbabweDepartment of Mathematics, University of Zimbabwe, P.O. Box MP 167, Mount Pleasant, Harare, ZimbabweHerpes simplex virus type 2 (HSV-2) is the most prevalent sexually transmitted disease worldwide, despite the availability of highly effective antiviral treatments. In this paper, a basic mathematical model for the spread of HSV-2 incorporating all the relevant biological details and poor treatment adherence is proposed and analysed. Equilibrium states of the model are determined and their stability has been investigated. The basic model is then extended to incorporate a time dependent intervention strategy. The aim of the control is tied to reducing the rate at which HSV-2 patients in treatment quit therapy before completion. Practically, this control can be implemented through monitoring and counselling all HSV-2 patients in treatment. The Pontryagin’s maximum principle is used to characterize the optimal level of the control, and the resulting optimality system is solved numerically. Overall, the study demonstrates that though time dependent control will be effective on controlling new HSV-2 cases it may not be sustainable for certain time intervals.http://dx.doi.org/10.1155/2015/850670 |
| spellingShingle | A. Mhlanga C. P. Bhunu S. Mushayabasa A Computational Study of HSV-2 with Poor Treatment Adherence Abstract and Applied Analysis |
| title | A Computational Study of HSV-2 with Poor Treatment Adherence |
| title_full | A Computational Study of HSV-2 with Poor Treatment Adherence |
| title_fullStr | A Computational Study of HSV-2 with Poor Treatment Adherence |
| title_full_unstemmed | A Computational Study of HSV-2 with Poor Treatment Adherence |
| title_short | A Computational Study of HSV-2 with Poor Treatment Adherence |
| title_sort | computational study of hsv 2 with poor treatment adherence |
| url | http://dx.doi.org/10.1155/2015/850670 |
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