A threshold result for an epidemiological model

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1992 English Publisher:Springer Science and Business Media LLCJournal:Journal of Mathematical Biology, volume 30, pages 647-654 (issn: 0303-6812, eissn: 1432-1416,

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Authors: Lin, Xiaodong; van den Driessche, P.;

doi: 10.1007/bf00948896 , 10.1007/bf00175611

pmid: 1640184

A threshold result for an epidemiological model

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Abstract

A threshold parameter R0 is identified for an SIRS epidemiological model which has nonlinear incidence and a distributed delay for transfer out of the removed class. For R0 less than 1, the disease free equilibrium is proved to be the global attractor for all solutions.

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Keywords

Models, Statistical, Stability theory of functional-differential equations, Epidemiology, nonlinear incidence, sharp threshold result, Incidence, global attraction, reproduction number, distributed delay, Communicable Diseases, Models, Biological, Attractors of solutions to ordinary differential equations, threshold parameter, disease free equilibrium, Disease Susceptibility, SIRS epidemiological model, Mathematics

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