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Vertical
transmission in epidemic models of sexually transmitted
diseases with isolation from reproduction
Daniel Maxin, Timothy Olson and Adam Shull
Vol. 4 (2011), No. 1, 13–26
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Abstract |
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We describe a population logistic model exposed to a mild life-long sexually transmitted disease, that is, without significant increased mortality among infected individuals and providing no immunity/recovery. We then modify this model to include groups isolated from sexual contact and analyze their potential effect on the dynamics of the population. We are interested in how the isolated class may curb the growth of the infected group while keeping the healthy population at acceptable levels. In particular, we analyze the connection between vertical transmission and isolation from reproduction on the long term behavior of the disease. A comparison with similar effects caused by vaccination and quarantine is also provided. |
Keywords
sexually transmitted diseases, abstaining individuals,
vertical transmission, isolation from reproduction
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Mathematical Subject Classification 2000
Primary: 92D30
Secondary: 92D25
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Milestones
Received: 10 September 2009
Revised: 16 December 2010
Accepted: 4 March 2011
Published: 22 September 2011
Communicated by Suzanne Lenhart
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Authors |
| Daniel Maxin | |
| Department of Mathematics and
Computer Science Valparaiso University 1900 Chapel Drive Valparaiso, IN 46383 United States |
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| http://faculty.valpo.edu/dmaxin/ | |
| Timothy Olson | |
| Department of Mathematics and
Computer Science Valparaiso University 1900 Chapel Drive Valparaiso, IN 46383 United States |
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| Adam Shull | |
| Department of Mathematics Indiana University Bloomington 831 East Third Street Bloomington, IN 47405 United States |
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