Some infectious disease models with population dynamics and general contact rates (Q757287)
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scientific article; zbMATH DE number 4191457
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some infectious disease models with population dynamics and general contact rates |
scientific article; zbMATH DE number 4191457 |
Statements
Some infectious disease models with population dynamics and general contact rates (English)
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1990
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Two models for infectious diseases are considered. One allowing recovery without immunity and the other allowing recovery with full immunity. These models, as usual, are represented by non-linear equations. It is shown that there is a single asymptotically stable equilibrium for diseases with recovery either with no immunity or with full immunity. The equilibrium is the disease-free equilibrium if the contact number is less than one and an endemic equilibrium if the contact number is greater than one.
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spread of infectious diseases
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nonlinear population dynamics
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total population size dependent contact rates
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variable infective periods
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recovery without immunity
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recovery with full immunity
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single asymptotically stable equilibrium
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disease-free equilibrium
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contact number
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endemic equilibrium
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