The Effect of Pulse Vaccination and Treatment on SIR Epidemic Model with Media Impact
2015 ◽
Vol 2015
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pp. 1-12
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Keyword(s):
We propose a novel SIR epidemic dynamical control model with media impact, where the state dependent pulse vaccination and medication treatment control strategies are being introduced to prevent the spread of disease at different control threshold values. By using the geometry theory of differential equation and method of successor function, the existence of positive order-1 periodic solution is studied. Further, some sufficient conditions of the orbitally asymptotical stability for positive order-1 periodic solution are given by the analog Poincaré criterion. Furthermore, numerical simulations are carried to illustrate the feasibility of our main results presented here.
2015 ◽
Vol 2015
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pp. 1-10
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2007 ◽
Vol 2007
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pp. 1-10
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2012 ◽
Vol 13
(4)
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pp. 1621-1629
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Keyword(s):
1998 ◽
Vol 60
(6)
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pp. 1123-1148
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Keyword(s):
2009 ◽
Vol 34
(1-2)
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pp. 287-298
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Keyword(s):
2016 ◽
Vol 462
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pp. 816-826
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Keyword(s):
2013 ◽
Vol 2013
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pp. 1-13
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2011 ◽
Vol 236
(6)
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pp. 997-1008
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2009 ◽
Vol 2009
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pp. 1-17
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