Stability of equilibria in a class-age-dependent epidemic model (Q1208135)
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scientific article; zbMATH DE number 166030
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of equilibria in a class-age-dependent epidemic model |
scientific article; zbMATH DE number 166030 |
Statements
Stability of equilibria in a class-age-dependent epidemic model (English)
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16 May 1993
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A ``susceptibles-infectives-susceptibles model'' is formulated with class-age dependent infectivity and \(n\) subpopulations. Under the appropriate threshold \((\rho\leq 1)\), the unique equilibrium is the disease-free equilibrium, which is globally stable when \(\rho<1\). Above the threshold \((\rho>1)\), there is an endemic equilibrium which is locally asymptotically stable under reasonable conditions.
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SIS model
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threshold conditions
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global asymptotic stability
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local asymptotic stability
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perturbations
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nonlinear integral equations
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susceptibles-infectives-susceptibles model
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class-age dependent infectivity
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unique equilibrium
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disease-free equilibrium
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endemic equilibrium
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