Global stability analysis for SEIS models with \(n\) latent classes (Q932457)
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scientific article; zbMATH DE number 5300209
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global stability analysis for SEIS models with \(n\) latent classes |
scientific article; zbMATH DE number 5300209 |
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Global stability analysis for SEIS models with \(n\) latent classes (English)
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11 July 2008
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An SEIS model with \(n\) classes of latent individuals and bilinear incidences is studied. The system exhibits the traditional behavior. For this model the basic reproduction ratio \(\mathcal R_0\) is computed. It is shown that if \(\mathcal R_0\leq 1\), then the disease-free equilibrium is globally asymptotically stable on the nonnegative orthant and if \(\mathcal R_0> 1\), an endemic equilibrium exists and is globally asymptotically stable on the positive orthant.
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nonlinear dynamical systems
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epidemic models
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global stability
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generalized Lyapunov functions
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0.8476273
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0.84264356
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0.83707094
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0.83026165
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0.8290752
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