Qualitative and Bifurcation Analysis of an SIR Epidemic Model with Saturated Treatment Function and Nonlinear Pulse Vaccination
Keyword(s):
An SIR epidemic model with saturated treatment function and nonlinear pulse vaccination is studied. The existence and stability of the disease-free periodic solution are investigated. The sufficient conditions for the persistence of the disease are obtained. The existence of the transcritical and flip bifurcations is considered by means of the bifurcation theory. The stability of epidemic periodic solutions is discussed. Furthermore, some numerical simulations are given to illustrate our results.
2015 ◽
Vol 2015
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pp. 1-10
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2009 ◽
Vol 2009
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pp. 1-17
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2021 ◽
2010 ◽
Vol 15
(1)
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pp. 71-81
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2020 ◽
Vol 0
(0)
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2019 ◽
Vol 29
(3)
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pp. 033129
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Keyword(s):
2008 ◽
Vol 01
(02)
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pp. 147-160
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2021 ◽
Stability and Bogdanov-Takens Bifurcation of an SIS Epidemic Model with Saturated Treatment Function
2015 ◽
Vol 2015
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pp. 1-14
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