Vol. 4, No. 1, 2011

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ISSN: 1944-4184 (e-only)
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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
Abstract

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
Mathematical Subject Classification 2000
Primary: 92D30
Secondary: 92D25
Milestones
Received: 10 September 2009
Revised: 16 December 2010
Accepted: 4 March 2011
Published: 22 September 2011

Communicated by Suzanne Lenhart
Authors
Daniel Maxin
Department of Mathematics and Computer Science
Valparaiso University
1900 Chapel Drive
Valparaiso, IN 46383
United States
http://faculty.valpo.edu/dmaxin/
Timothy Olson
Department of Mathematics and Computer Science
Valparaiso University
1900 Chapel Drive
Valparaiso, IN 46383
United States
Adam Shull
Department of Mathematics
Indiana University Bloomington
831 East Third Street
Bloomington, IN 47405
United States