Existence and Uniqueness Results for a Smooth Model of Periodic Infectious Diseases

Guy Degla

Abstract and Applied Analysis, 2016, vol. 2016, issue 1

Abstract: 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.

Date: 2016
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https://doi.org/10.1155/2016/1708527

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2016:y:2016:i:1:n:1708527

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