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Applications of Mathematics
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Applications of Mathematics
Article . 2003 . Peer-reviewed
License: Springer TDM
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An Epidemic Model with a Time Delay in Transmission

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 2003Publisher:Institute of Mathematics, Czech Academy of SciencesJournal:Applications of Mathematics, volume 48, pages 193-203 (issn: 0862-7940, eissn: 1572-9109, Copyright policy )
Authors: E. V. Krishnan; Q. J. A. Khan;

doi: 10.1023/a:1026002429257

An Epidemic Model with a Time Delay in Transmission

Abstract

We study a mathematical model which was originally suggested by Greenhalgh and Das and takes into account the delay in the recruitment of infected persons. The stability of the equilibria are also discussed. In addition, we show that the introduction of a time delay in the transmission term can destabilize the system and periodic solutions can arise by Hopf bifurcation.

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
21
Top 10%
Top 10%
Average
bronze