On the global stability of a delay epidemic model
1992 ◽
Vol 34
(1)
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pp. 26-34
Keyword(s):
AbstractIn this paper, we study the asymptotic behavior of an SIRS epidemic model with a time delay in the recovered class and a nonlinear incidence rate. A conjecture of Hethcote et al. [5] on the global stability of the disease-free equilibrium is solved. Moreover, we analyse the model when the contact number takes its threshold value. We show that solutions tend to either the disease-free equilibrium or to a unique positive endemic equilibrium, and there is no periodic solution.
2015 ◽
Vol 2015
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pp. 1-9
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2016 ◽
Vol 17
(7-8)
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pp. 401-412
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2012 ◽
Vol 479-481
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pp. 1495-1498
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2009 ◽
Vol 10
(5)
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pp. 3175-3189
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Keyword(s):
2019 ◽
Vol 515
◽
pp. 587-599
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2008 ◽
Vol 79
(3)
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pp. 500-510
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Keyword(s):
2016 ◽
Vol 2016
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pp. 1-8
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2020 ◽
Vol 551
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pp. 124152
2017 ◽
Vol 305
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pp. 221-240
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