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Zbl 0988.92027
Zhao, Xiao-Qiang; Zou, Xingfu
Threshold dynamics in a delayed SIS epidemic model. (English)
[J] J. Math. Anal. Appl. 257, No.2, 282-291 (2001). ISSN 0022-247X

Summary: An SIS epidemic model with maturation delay is analysed. It is shown that the disease dies out when the basic reproduction number $R_0<1$, and the disease remains endemic when $R_0>1$ in the sense of uniform persistence. When the disease induced death rate is sufficiently small, the global attractivity of the endemic equilibrium is also proved.

MSC 2000:: *92D30 Epidemiology
34K60 Applications of functional-differential equations
34K25 Asymptotic theory of functional-differential equations

Keywords: SIS model; threshold dynamics; persistence; global attractivity; maturation delay; basic reproduction number

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