THRESHOLD THEOREM FOR THE GENERAL EPIDEMIC IN DISCRETE-TIME

被引:2
作者
DEHOOG, F
GANI, J
GATES, DJ
机构
[1] CSIRO Division of Mathematics and Statistics, Canberra City, 2601, A.C.T.
关键词
Discrete time; Epidemic; General epidemic; Threshold theorem;
D O I
10.1007/BF00279715
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
A theorem, analogous to the continuous time Threshold Theorem of Kermack and McKendrick, is proved for a certain discrete time epidemic model. This model, in contrast to its continuous time analogue, leads to some solutions in which the total population of susceptibles may become infected in a finite time. © 1979 Springer-Verlag.
引用
收藏
页码:113 / 121
页数:9
相关论文
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JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES A-STATISTICS IN SOCIETY, 1978, 141 :323-347
[2]  
KENDALL D. G., 1956, 3RD BERK S MATH STAT, VIV, P149
[3]   Contribution to the mathematical theory of epidemics [J].
Kermack, WO ;
McKendrick, AG .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-CONTAINING PAPERS OF A MATHEMATICAL AND PHYSICAL CHARACTER, 1927, 115 (772) :700-721