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2016 Existence and Uniqueness Results for a Smooth Model of Periodic Infectious Diseases
Guy Degla
Abstr. Appl. Anal. 2016(SI2): 1-4 (2016). DOI: 10.1155/2016/1708527

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.

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Guy Degla. "Existence and Uniqueness Results for a Smooth Model of Periodic Infectious Diseases." Abstr. Appl. Anal. 2016 (SI2) 1 - 4, 2016. https://doi.org/10.1155/2016/1708527

Information

Received: 14 July 2016; Accepted: 18 August 2016; Published: 2016
First available in Project Euclid: 3 October 2016

zbMATH: 06929345
MathSciNet: MR3550941
Digital Object Identifier: 10.1155/2016/1708527

Rights: Copyright © 2016 Hindawi

Vol.2016 • No. SI2 • 2016
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