The probability of epidemic fade-out is non-monotonic in transmission rate for the Markovian SIR model with demography.
作者： P.G. Ballard , N.G. Bean , J.V. Ross
DOI: 10.1016/J.JTBI.2016.01.012
关键词:
摘要: … of epidemic fade-out is not well understood. Here we present new algorithms for approximating the probability of epidemic fade-out for the Markovian … the first trough Markov chain, with …
sci-hub.se 参考文章(24)
Richard W. Hamming, Numerical Methods for Scientists and Engineers ,(1962)
INGEMAR NÅSELL, Extinction and quasi-stationarity in the Verhulst logistic model. Journal of Theoretical Biology. ,vol. 211, pp. 11- 27 ,(2001) , 10.1006/JTBI.2001.2328
Ganna Rozhnova, C. Jessica E. Metcalf, Bryan T. Grenfell, Characterizing the dynamics of rubella relative to measles: the role of stochasticity Journal of the Royal Society Interface. ,vol. 10, pp. 20130643- 20130643 ,(2013) , 10.1098/RSIF.2013.0643
Onno A. van Herwaarden, Stochastic epidemics: the probability of extinction of an infectious disease at the end of a major outbreak Journal of Mathematical Biology. ,vol. 35, pp. 793- 813 ,(1997) , 10.1007/S002850050077
L Dalcin, R Bradshaw, K Smith, C Citro, S Behnel, DS Seljebotn, Cython: The Best of Both Worlds computational science and engineering. ,vol. 13, pp. 31- 39 ,(2011) , 10.1109/MCSE.2010.118
Odo Diekmann, J. A. P Heesterbeek, Mathematical Epidemiology of Infectious Diseases: Model Building, Analysis and Interpretation ,(2000)
Andrew J. Black, Thomas House, M. J. Keeling, J. V. Ross, Epidemiological consequences of household-based antiviral prophylaxis for pandemic influenza Journal of the Royal Society Interface. ,vol. 10, pp. 20121019- 20121019 ,(2013) , 10.1098/RSIF.2012.1019
Andrew J. K. Conlan, Pejman Rohani, Alun L. Lloyd, Matthew Keeling, Bryan T. Grenfell, Resolving the impact of waiting time distributions on the persistence of measles Journal of the Royal Society Interface. ,vol. 7, pp. 623- 640 ,(2010) , 10.1098/RSIF.2009.0284
P. K. Pollett, On a Model for Interference Between Searching Insect Parasites The Journal of The Australian Mathematical Society. Series B. Applied Mathematics. ,vol. 32, pp. 133- 150 ,(1990) , 10.1017/S0334270000008390
Matt J. Keeling, Pejman Rohani, Bryan T. Grenfell, Seasonnally forced disease dynamics explored as switching between attractors Physica D: Nonlinear Phenomena. ,vol. 148, pp. 317- 335 ,(2001) , 10.1016/S0167-2789(00)00187-1