Threshold analysis for epidemic models with high-risk immunization on networks
2015 ◽
Vol 08
(03)
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pp. 1550031
Keyword(s):
In this paper, an SIRS epidemic model with high-risk immunization was investigated, where a susceptible neighbor of an infected node is immunized with rate h. Through analyzing the discrete-time model, we found that the epidemic threshold above which an epidemic can prevail and persist in a population is inversely proportional to 1 - h value. We also studied the continuous-time epidemic model and obtained a different result: the epidemic threshold does not depend on the immunization parameter h. Our results suggest that the difference between the discrete-time epidemic model and the continuous-time epidemic model exists in the high-risk immunization.
1981 ◽
Vol 18
(01)
◽
pp. 19-30
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Keyword(s):
2004 ◽
Vol 126
(1)
◽
pp. 205-210
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2016 ◽
Vol 40
(1)
◽
pp. 59-77
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Keyword(s):
1995 ◽
Vol 03
(02)
◽
pp. 543-558
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Keyword(s):
1991 ◽
Vol 27
(6)
◽
pp. 678-685
Keyword(s):
2012 ◽
Vol 7
(13)
◽
pp. 258-266
Keyword(s):
1990 ◽
Vol 35
(3)
◽
pp. 334-338
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1987 ◽
Vol 14
(8)
◽
pp. 629-644
Keyword(s):