An Epidemic Model with a Time Delay in Transmission |
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| Authors: | Q. J. A. Khan E. V. Krishnan |
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| Affiliation: | (1) Department of Mathematics and Statistics, College of Science, Sultan Qaboos University, Al-Khodh, Postal Code 123, Sultanate of Oman |
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| 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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| Keywords: | epidemic model time delay Hopf bifurcation equilibrium analysis differential equations |
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