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Stability Analysis of a SEIQR Epidemic Model with Saturated Incidence and Time Delay(PDF)

《哈尔滨理工大学学报》[ISSN:1007-2683/CN:23-1404/N]

Issue:
2017年02期
Page:
78-83
Research Field:
数理科学
Publishing date:

Info

Title:
Stability Analysis of a SEIQR Epidemic Model with Saturated Incidence and Time Delay
Author(s):
LI DouR--mei ZHANG Yu Yue W护 DONG Zai-fe
(1. School of Applied Sciences, llarbin L niversity of Science and 2. Schlumberger Western Geco, Katy ’tx ’technology, llarbin 150080,China; 77494,LSA)
Keywords:
Keywords:time delayisolationpermanencestability
PACS:
-
DOI:
10.15938/j.jhust.2017.02.015
Abstract:
Abstract:Considering the effect of isolation and vaccination on control of disease,a SEIQR epidemic model with saturated incidence and time delay is established. Then,the existence condition of the disease-free equilibrium and endemic equilibrium and the permanence of model are obtained. The global stability of the disease-free equilibrium and endemic equilibrium are proved by constructing an appropriate Liapunov function,numerical simulations are presented to verify the properties of the models dynamics.

References:

Memo

Memo:
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Last Update: 2017-06-13