The construction of next-generation matrices for compartmental epidemic models.

作者: O. Diekmann , J. A. P. Heesterbeek , M. G. Roberts

DOI: 10.1098/RSIF.2009.0386

关键词:

摘要: The basic reproduction number ℛ0 is arguably the most important quantity in infectious disease epidemiology. next-generation matrix (NGM) natural basis for definition and calculation...

参考文章(7)
Hisashi Inaba, Hiroshi Nishiura, None, The state-reproduction number for a multistate class age structured epidemic system and its application to the asymptomatic transmission model. Bellman Prize in Mathematical Biosciences. ,vol. 216, pp. 77- 89 ,(2008) , 10.1016/J.MBS.2008.08.005
O. Diekmann, J.A.P. Heesterbeek, J.A.J. Metz, On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations Journal of Mathematical Biology. ,vol. 28, pp. 365- 382 ,(1990) , 10.1007/BF00178324
B.R Cherry, M.J Reeves, G Smith, Evaluation of bovine viral diarrhea virus control using a mathematical model of infection dynamics Preventive Veterinary Medicine. ,vol. 33, pp. 91- 108 ,(1998) , 10.1016/S0167-5877(97)00050-0
Horst R. Thieme, Spectral Bound and Reproduction Number for Infinite-Dimensional Population Structure and Time Heterogeneity Siam Journal on Applied Mathematics. ,vol. 70, pp. 188- 211 ,(2009) , 10.1137/080732870
Chi-Kwong Li, Hans Schneider, Applications of Perron-Frobenius theory to population dynamics. Journal of Mathematical Biology. ,vol. 44, pp. 450- 462 ,(2002) , 10.1007/S002850100132
P. van den Driessche, James Watmough, Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission Bellman Prize in Mathematical Biosciences. ,vol. 180, pp. 29- 48 ,(2002) , 10.1016/S0025-5564(02)00108-6