Asymptotical Stability of an SIQS Epidemic Model with Age Dependence and Generally Nonlinear Contact Rate

Yao Hong Suo

doi:10.4028/www.scientific.net/AMM.58-60.292

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 58-60Asymptotical Stability of an SIQS Epidemic Model...

Asymptotical Stability of an SIQS Epidemic Model with Age Dependence and Generally Nonlinear Contact Rate

Abstract:

In this paper, an SIQS epidemic model with infection age and generally nonlinear contract rate is formulated. The existence and asymptotic stability of equilibrium are respectively discussed, and a general condition is obtained under which the endemic equilibrium is exponentially asymptotically stable.

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Periodical:

Applied Mechanics and Materials (Volumes 58-60)

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292-297

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.58-60.292

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Online since:

June 2011

Authors:

Yao Hong Suo

Keywords:

Age-Infection, Contact Rate, SIQS Epidemic Model, Stability

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References

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