Global stability of an SEIR epidemic model with vaccination
2016 ◽
Vol 09
(06)
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pp. 1650082
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Keyword(s):
In this paper, an SEIR epidemic model with vaccination is formulated. The results of our mathematical analysis indicate that the basic reproduction number plays an important role in studying the dynamics of the system. If the basic reproduction number is less than unity, it is shown that the disease-free equilibrium is globally asymptotically stable by comparison arguments. If it is greater than unity, the system is permanent and there is a unique endemic equilibrium. In this case, sufficient conditions are established to guarantee the global stability of the endemic equilibrium by the theory of the compound matrices. Numerical simulations are presented to illustrate the main results.
2014 ◽
Vol 07
(04)
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pp. 1450041
2009 ◽
Vol 2009
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pp. 1-17
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2015 ◽
Vol 08
(02)
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pp. 1550027
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2016 ◽
Vol 09
(05)
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pp. 1650068
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2014 ◽
Vol 2014
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pp. 1-6
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2012 ◽
Vol 2012
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pp. 1-14
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2015 ◽
Vol 08
(06)
◽
pp. 1550082
◽