Asymptotically periodic solutions to Volterra integral equations in epidemic models (Q1074527)
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scientific article; zbMATH DE number 3948068
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotically periodic solutions to Volterra integral equations in epidemic models |
scientific article; zbMATH DE number 3948068 |
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Asymptotically periodic solutions to Volterra integral equations in epidemic models (English)
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1985
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The author studies the equation \[ x(t)=f(t)+\int^{t}_{0}a(s)P(t- s)g(x(s))ds \] which arises in models for SIS epidemics and he proves some results saying that if either f or a are periodic functions, then the solution x is asymptotically periodic. These results are applied to several models used in describing epidemics of gonorrhea and some numerical results are also given.
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scalar nonlinear Volterra integral equation
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oscillations in
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infective populations
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asymptotically periodic solutions
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SIS epidemics
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epidemics of gonorrhea
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numerical results
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