A Computational Study of HSV-2 with Poor Treatment Adherence
Joint Authors
Bhunu, Claver P.
Mhlanga, A.
Mushayabasa, Steady
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-11-18
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Mhlanga, A.& Bhunu, Claver P.& Mushayabasa, Steady. 2015. A Computational Study of HSV-2 with Poor Treatment Adherence. Abstract and Applied Analysis،Vol. 2015, no. 2015, pp.1-15.
https://search.emarefa.net/detail/BIM-1052129
Modern Language Association (MLA)
Mhlanga, A.…[et al.]. A Computational Study of HSV-2 with Poor Treatment Adherence. Abstract and Applied Analysis No. 2015 (2015), pp.1-15.
https://search.emarefa.net/detail/BIM-1052129
American Medical Association (AMA)
Mhlanga, A.& Bhunu, Claver P.& Mushayabasa, Steady. A Computational Study of HSV-2 with Poor Treatment Adherence. Abstract and Applied Analysis. 2015. Vol. 2015, no. 2015, pp.1-15.
https://search.emarefa.net/detail/BIM-1052129
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052129