Geodesic
An epidemic model with a time delay in transmission
Applications of Mathematics, Tome 48 (2003) no. 3, pp. 193-203

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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.
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.
DOI : 10.1023/A:1026002429257
Classification : 34K13, 34K20, 92B05, 92D30
Keywords: epidemic model; time delay; Hopf bifurcation; equilibrium analysis; differential equations 
Khan, Q. J. A.; Krishnan, E. V. An epidemic model with a time delay in transmission. Applications of Mathematics, Tome 48 (2003) no. 3, pp. 193-203. doi: 10.1023/A:1026002429257
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