The effects of females’ susceptibility on the coexistence of multiple pathogen strains of sexually transmitted diseases |
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Authors: | Carlos Castillo-Chavez Wenzhang Huang Jia Li |
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Institution: | (1) Biometrics Unit, Center for Applied Mathematics, Mathematical Science Institute, Cornell University, Ithaca, NY 14853, USA, US;(2) Department of Mathematical Sciences, University of Alabama in Huntsville, Huntsville, AL 35899, USA, US |
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Abstract: | We study the dynamics of sexually transmitted pathogens in a heterosexually active population, where females are divided
into two different groups based on their susceptibility to two distinct pathogenic strains. It is assumed that a host cannot
be invaded simultaneously by both disease agents and that when symptoms appear – a function of the pathogen, strain, virulence,
and an individual’s degree of susceptibility – then individuals are treated and/or recover. Heterogeneity in susceptibility
to the acquisition of infection and/or in variability in the length of the infection period of the female subpopulations is
incorporated. Pathogens’ coexistence is highly unlikely on homogeneously mixing female and male populations with no heterogeneity
among individuals of either gender. Variability in susceptibility in the female subpopulation makes coexistence possible albeit
under a complex set of circumstances that must include differences in contact/mixing rates between the groups of females and
the male population as well as differences in the lengths of their average periods of infectiousness for the three groups.
Received 25 July 1995; received in revised form 6 May 1996 |
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Keywords: | : Sexually transmitted disease Pathogen strains Coexistence |
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