Abstract
We formulate and analyze a model for an infectious disease which does not cause death but for which infectives remain infective for life. We derive the basic reproductive number R0 and show that there is a unique globally asymptotically stable equilibrium, namely the disease - free equilibrium if R0 < 1 and the endemic equilibrium if R 0 > 1. However, the relation between the basic reproductive number, the mean age at infection, and the mean life span depends on the distribution of life spans and may be quite different from that for exponentially distributed life spans or very short infective periods.
Original language | English (US) |
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Pages (from-to) | 257-264 |
Number of pages | 8 |
Journal | Discrete and Continuous Dynamical Systems - Series B |
Volume | 2 |
Issue number | 2 |
DOIs | |
State | Published - May 2002 |
Externally published | Yes |
Keywords
- Age - structured populations
- Epidemic models
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics