Abstract
We present a sexually-transmitted disease (STD) model for two strains of pathogen in a one-sex, heterogeneously-mixing population, where the dynamics are of SIS (susceptible/infected/susceptible) type, and there are two different groups of individuals. We analyze all equilibria for the case where contacts are modeled via proportionate (random) mixing. We find that both strains may under suitable circumstances coexist, and that it is the heterogeneous mixing that creates "refuges" for each strain as each population group favors one particular strain.
Original language | English (US) |
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Pages (from-to) | 547-568 |
Number of pages | 22 |
Journal | Journal Of Mathematical Biology |
Volume | 47 |
Issue number | 6 |
DOIs | |
State | Published - Dec 2003 |
Keywords
- Coexistence
- Competitive exclusion
- Endemic equilibrium
- Mathematical modeling
- Monotone flow
- Reproductive number
- Sexually-transmitted Disease
ASJC Scopus subject areas
- Modeling and Simulation
- Agricultural and Biological Sciences (miscellaneous)
- Applied Mathematics