Some equilibrium, stability, instability and oscillatory results for an extended discrete epidemic model with evolution memory Doc 576

This paper investigates the existence and potential uniqueness of equilibrium points and some stability, instability and oscillatory properties of a discrete nonlinear epidemic model, which generalises previous Stevic's model, whose solutions possess memory from a finite chain of preceding samp...

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Bibliographic Details
Published inAdvances in difference equations Vol. 2013; p. 1
Main Authors De la Sen, Manuel, Alonso-quesada, Santiago
Format Journal Article
LanguageEnglish
Published New York Springer Nature B.V 01.08.2013
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Summary:This paper investigates the existence and potential uniqueness of equilibrium points and some stability, instability and oscillatory properties of a discrete nonlinear epidemic model, which generalises previous Stevic's model, whose solutions possess memory from a finite chain of preceding samples. An application example is provided where the proposed model is 'ad hoc' adapted to a class of SIS models widely used in epidemiology.[PUBLICATION ABSTRACT]
ISSN:1687-1839
1687-1847
DOI:10.1186/1687-1847-2013-234