An algebraic proof of the threshold theorem for the general stochastic epidemic

Author:

Williams Trevor

Abstract

Bailey (1957) has considered the general stochastic epidemic with relative removal rate ρ, one initial infective and n susceptibles. His Equation (5.51) may be re-cast as where the fk satisfy the recurrence relationship

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,Statistics and Probability

Reference1 articles.

Cited by 32 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Strong convergence of an epidemic model with mixing groups;Advances in Applied Probability;2023-09-01

2. How long does it take to eliminate an epidemic without herd immunity?;2020-08-12

3. Epidemic Thresholds;Wiley StatsRef: Statistics Reference Online;2014-09-29

4. Note on the threshold theorem of a heterogeneous SIR epidemic;Statistics & Probability Letters;2013-01

5. Stochastic Modelling in Life Sciences;Inference for Diffusion Processes;2012-08-24

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