Hopf bifurcation of nonlinear incidence rates SIR epidemiological models with stage structure (Q1599227)
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scientific article; zbMATH DE number 1750262
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hopf bifurcation of nonlinear incidence rates SIR epidemiological models with stage structure |
scientific article; zbMATH DE number 1750262 |
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Hopf bifurcation of nonlinear incidence rates SIR epidemiological models with stage structure (English)
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1 May 2003
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Here, the authors consider a nonlinear incidence rates SIR epidemiological model with stage structure. Different to bilinear rate models, there exist two positive equilibria and whether or not the disease will eventually die out may depend upon the initial values. Periodic solutions may appear by Hopf bifurcation.
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SIR epidemiological model
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Hopf bifurcation
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endemic equilibrium
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disense-free equilibrium
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periodic solutions
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