Journal article
Threshold parameters for a simple stochastic partnership model of sexually transmitted diseases formulated as a two-type CMJ process
IMA journal of mathematics applied in medicine and biology, v 14(4)
Dec 1997
PMID: 9415994
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
A simple stochastic model describing an epidemic of a sexually transmitted disease, accommodating the formation and dissolution of partnerships, was formulated within a two-type Crump-Mode-Jagers (CMJ) process in continuous time. A submodel, describing the formation and dissolution of partnerships, was formulated in terms of a semi-Markov process with a finite state space and death as an absorbing state. This model was then linked to a two-type CMJ process through offspring distributions. Numerical values of threshold parameters greater than one suggests that either the epidemic dies out with a probability significantly different form zero or it spreads explosively in the population.
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Details
- Title
- Threshold parameters for a simple stochastic partnership model of sexually transmitted diseases formulated as a two-type CMJ process
- Creators
- C J Mode - Drexel University
- Publication Details
- IMA journal of mathematics applied in medicine and biology, v 14(4)
- Publisher
- Oxford University Press
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- [Retired Faculty]
- Web of Science ID
- WOS:000071062200001
- Scopus ID
- 2-s2.0-0031304640
- Other Identifier
- 991019168033904721
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- Web of Science research areas
- Mathematics, Interdisciplinary Applications