On interarrival times in simple stochastic epidemic models

1982 ◽  
Vol 19 (4) ◽  
pp. 835-841
Author(s):  
Grace Yang ◽  
C. L. Chiang

The probability distributions of the size and the duration of simple stochastic epidemic models are well known. However, in most instances, the solutions are too complicated to be of practical use. In this note, interarrival times of the infectives are utilized to study asymptotic distributions of the duration of the epidemic for a class of simple epidemic models. A brief summary of the results on simple epidemic models in terms of interarrival times is included.

1982 ◽  
Vol 19 (04) ◽  
pp. 835-841
Author(s):  
Grace Yang ◽  
C. L. Chiang

The probability distributions of the size and the duration of simple stochastic epidemic models are well known. However, in most instances, the solutions are too complicated to be of practical use. In this note, interarrival times of the infectives are utilized to study asymptotic distributions of the duration of the epidemic for a class of simple epidemic models. A brief summary of the results on simple epidemic models in terms of interarrival times is included.


2015 ◽  
Vol 266 ◽  
pp. 23-35 ◽  
Author(s):  
Frank G. Ball ◽  
Edward S. Knock ◽  
Philip D. O’Neill

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