Strong approximations for epidemic models

作者: Frank Ball , Peter Donnelly

DOI: 10.1016/0304-4149(94)00034-Q

关键词:

摘要: … The approximating process is then a branching Markov chain. Other generalisations include allowing immigration of infectives, so the approximating process is a branching process with …

参考文章(41)
Denis Mollison, Spatial Contact Models for Ecological and Epidemic Spread Journal of the Royal Statistical Society: Series B (Methodological). ,vol. 39, pp. 283- 313 ,(1977) , 10.1111/J.2517-6161.1977.TB01627.X
David J. Aldous, Exchangeability and related topics Lecture Notes in Mathematics. ,vol. 1117, pp. 1- 198 ,(1985) , 10.1007/BFB0099421
David G Kendall, Deterministic and Stochastic Epidemics in Closed Populations Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability, Volume 4: Contributions to Biology and Problems of Health. pp. 149- 165 ,(1956)
Torgny Lindvall, Lectures on the Coupling Method ,(1992)
Richard Arratia, Larry Goldstein, Louis Gordon, Poisson Approximation and the Chen-Stein Method Statistical Science. ,vol. 5, pp. 403- 424 ,(1990) , 10.1214/SS/1177012015
H. E. Daniels, The distribution of the total size of an epidemic Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability, Volume 4: Biology and Problems of Health. ,(1967)
David G. Kendall, On the Generalized "Birth-and-Death" Process Annals of Mathematical Statistics. ,vol. 19, pp. 1- 15 ,(1948) , 10.1214/AOMS/1177730285
Frank G. Ball, Dynamic population epidemic models Mathematical Biosciences. ,vol. 107, pp. 299- 324 ,(1991) , 10.1016/0025-5564(91)90011-7