Existence and uniqueness results for a smooth model of periodic infectious diseases (Q1669207)
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scientific article; zbMATH DE number 6929345
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and uniqueness results for a smooth model of periodic infectious diseases |
scientific article; zbMATH DE number 6929345 |
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Existence and uniqueness results for a smooth model of periodic infectious diseases (English)
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30 August 2018
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Summary: We prove the existence of a curve (with respect to the scalar delay) of periodic positive solutions for a smooth model of Cooke-Kaplan's integral equation by using the implicit function theorem under suitable conditions. We also show a situation in which any bounded solution with a sufficiently small delay is isolated, clearing an asymptotic stability result of Cooke and Kaplan.
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0.8178350329399109
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