Large Global Asymptotically Stability of an SEIR Epidemic Model with Distributed Time Delay

Jin Gao; Zhen Jin

doi:10.4028/www.scientific.net/AMR.271-273.428

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 271-273Large Global Asymptotically Stability of an SEIR...

Large Global Asymptotically Stability of an SEIR Epidemic Model with Distributed Time Delay

Abstract:

An SEIR epidemic transmission model is formulated under the assumption that the force of infection at the present time depends on the number of infectives at the past. It is shown that a desease free equilibrium is globally stable if no epidemic equilibrium point exists. Further the epidemic equilibrium (if it exists) is globally stable in the who;e state space except the neighborhood of the desease free equilibrium.

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Periodical:

Advanced Materials Research (Volumes 271-273)

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428-434

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.271-273.428

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Online since:

July 2011

Authors:

Jin Gao, Zhen Jin

Keywords:

Global Stability, Liapunov Functional, Sier Epidemic Models, Time Delay

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