Abstract
For two models of infectious diseases, thresholds are identified, and it is proved that above the threshold there is a unique endemic equilibrium which is locally asymptotically stable. Both models are for diseases for which infection confers immunity, and both have the population divided into subpopulations. One model is a system of ordinary differential equations and includes immunization. The other is a system of integrodifferential equations and includes class-age infectivity.
Original language | English (US) |
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Pages (from-to) | 205-227 |
Number of pages | 23 |
Journal | Mathematical Biosciences |
Volume | 75 |
Issue number | 2 |
DOIs | |
State | Published - Aug 1985 |
Externally published | Yes |
ASJC Scopus subject areas
- Statistics and Probability
- Modeling and Simulation
- Biochemistry, Genetics and Molecular Biology(all)
- Immunology and Microbiology(all)
- Agricultural and Biological Sciences(all)
- Applied Mathematics