HSV-2 and Substance Abuse amongst Adolescents: Insights through Mathematical Modelling
Joint Authors
Bhunu, Claver P.
Mhlanga, A.
Mushayabasa, Steady
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-11-13
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
Herpes simplex virus infection is mostly spread and occurs more commonly among substance abusing adolescents as compared to the nonsubstance abusing.
In this paper, a mathematical model for the spread of HSV-2 within a community with substance abusing adolescents is developed and analysed.
The impacts of condom use and educational campaigns are examined.
The study suggests that condom use is highly effective among adolescents, when we have more of them quitting than becoming substance abusers.
Measures such as educational campaigns can be put in place to try and reduce adolescents from becoming substance abusers.
Further, we applied optimal control theory to the proposed model.
The controls represent condom use and educational campaigns.
The objective is based on maximising the susceptible nonsubstance abusing adolescents, while minimising the susceptible substance abusing adolescents, the infectious nonsubstance abusing adolescents, and the infectious substance abusing adolescents.
We used Pontrygin’s maximum principle to characterise the optimal levels of the two controls.
The resulting optimality system is solved numerically.
Overall, the application of the optimal control theory suggests that more effort should be devoted to condom use as compared to educational campaigns.
American Psychological Association (APA)
Mhlanga, A.& Bhunu, Claver P.& Mushayabasa, Steady. 2014. HSV-2 and Substance Abuse amongst Adolescents: Insights through Mathematical Modelling. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-17.
https://search.emarefa.net/detail/BIM-1037730
Modern Language Association (MLA)
Mhlanga, A.…[et al.]. HSV-2 and Substance Abuse amongst Adolescents: Insights through Mathematical Modelling. Journal of Applied Mathematics No. 2014 (2014), pp.1-17.
https://search.emarefa.net/detail/BIM-1037730
American Medical Association (AMA)
Mhlanga, A.& Bhunu, Claver P.& Mushayabasa, Steady. HSV-2 and Substance Abuse amongst Adolescents: Insights through Mathematical Modelling. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-17.
https://search.emarefa.net/detail/BIM-1037730
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1037730