An epidemic model with a time delay in transmission

Q. J.A. Khan; E. V. Krishnan

doi:10.1023/A:1026002429257

An epidemic model with a time delay in transmission

Q. J.A. Khan^*, E. V. Krishnan

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

21 Citations (Scopus)

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.

Original language	English
Pages (from-to)	193-203
Number of pages	11
Journal	Applications of Mathematics
Volume	48
Issue number	3
DOIs	https://doi.org/10.1023/A:1026002429257
Publication status	Published - 2003

Keywords

Hopf bifurcation
differential equations
epidemic model
equilibrium analysis
time delay

ASJC Scopus subject areas

Applied Mathematics

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10.1023/A:1026002429257

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title = "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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AU - Krishnan, E. V.

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AB - 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.

KW - Hopf bifurcation

KW - differential equations

KW - epidemic model

KW - equilibrium analysis

KW - time delay

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JF - Applications of Mathematics

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An epidemic model with a time delay in transmission

Abstract

Keywords

ASJC Scopus subject areas

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