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Original Articles

Characteristics of an epidemic outbreak with a large initial infection size

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Pages 366-378 | Received 02 Sep 2015, Accepted 18 Jun 2016, Published online: 08 Jul 2016

References

  • F. Brauer, Compartmental models in epidemiology, in Mathematical Epidemiology, Lecture Notes in Mathematics, F. Brauer, P. van den Driessche and J. Wu, eds., Springer, Berlin, 2008, pp. 19–79.
  • O. Diekmann, J.A.J. Metz, and J.A.P. Heesterbeek, The legacy of Kermack and McKendrick, in Epidemic Models: Their Structure and Relation to Data, Their Structure and Relation to Data, D. Mollison, ed., Cambridge University Press, Cambridge, 1995, pp. 95–115.
  • Z. Feng, Final and peak epidemic sizes for SEIR models with quarantine and isolation, Math. Bios. Eng. 4 (2007), pp. 675–686. doi: 10.3934/mbe.2007.4.675
  • Y.H. Hsieh, Richards model: A simple procedure for real-time prediction of outbreak severity, in Modeling and Dynamics of Infectious Diseases, Series in Contemporary Applied Mathematics (CAM), Z.Ma, J.Wu and Y. Zhou, eds., Higher Education Press, Beijing, 2009, pp. 216–236.
  • Y. -H. Hsieh, Pandemic influenza A (H1N1) during winter influenza season in the southern hemisphere, Infl. Other Resp. Vir. 4 (2010), pp. 187–197. doi: 10.1111/j.1750-2659.2010.00147.x
  • Y. -H. Hsieh and C.W.S. Chen, Turning points, reproduction number, and impact of climatological events for multi-wave dengue outbreaks, Trop. Med. Int. Health 14 (2009), pp. 628–638. doi: 10.1111/j.1365-3156.2009.02277.x
  • Y. -H. Hsieh and Y. -S. Cheng, Real-time forecast of multiphase outbreak, Emerg. Infect. Dis. 12 (2006), pp. 122–127. doi: 10.3201/eid1201.050396
  • Y. -H. Hsieh, H. dejjArazoza, and R. Lounes, Temporal trends and regional variability of 2001–2002 multiwave DENV-3 epidemic in Havana City: Did Hurricane Michelle contribute to its severity? Trop. Med. Int. Health. 18 (2013), pp. 830–838. doi: 10.1111/tmi.12105
  • Y. -H. Hsieh, D.N. Fisman, and J. Wu, On epidemic modeling in real time: An application to the 2009 novel A (H1N1) influenza outbreak in Canada, BMC Res. Notes 3 (2010), p. 283. doi: 10.1186/1756-0500-3-283
  • Y. -H. Hsieh, J. -Y. Lee, and H. -L. Chang, SARS epidemiology modeling, Emerg. Infect. Dis. 10 (2004), pp. 1165–1167. doi: 10.3201/eid1006.031023
  • Y.H. Hsieh and S. Ma, Intervention measures, turning point, and reproduction number for dengue, Singapore, Am. J. Trop. Med. Hyg. 80 (2005), pp. 66–71.
  • Y. -H. Hsieh, J. Wu, J. Fang, Y. Yang, and J. Lou, Quantification of bird-to-bird and bird-to-human infections during 2013 novel H7N9 avian influenza outbreak in China, PLoS ONE 9 (2014), p. e111834. doi: 10.1371/journal.pone.0111834
  • J.C. Miller, Epidemics on networks with large initial conditions or changing structure, PLoS ONE 9 (2014), p. e101421. doi: 10.1371/journal.pone.0101421
  • F.J. Richards, A flexible growth function for empirical use, J. Exp. Bot. 10 (1959), pp. 290–301. doi: 10.1093/jxb/10.2.290
  • J.V. Ross, A note on density-dependence in population models, Ecol. Model. 220 (2009), pp. 3472–3474. doi: 10.1016/j.ecolmodel.2009.08.024
  • I. Sazonov, M. Kelbert, and M.B. Gravenor, A two-stage model for the SIR outbreak: Accounting for the discrete and stochastic nature of the epidemic at the initial contamination stage, Math. Biosci. 234 (2011), pp. 108–117. doi: 10.1016/j.mbs.2011.09.002
  • X.-S. Wang, J. Wu, and Y. Yang, Richards model revisited: Validation by and application to infection dynamics, J. Theor. Biol. 313 (2012), pp. 12–19. doi: 10.1016/j.jtbi.2012.07.024
  • X.-S. Wang and L. Zhong, Ebola outbreak in West Africa: real-time estimation and multiple-wave prediction, Math. Bios. Eng. 12 (2015), pp. 1055–1063. doi: 10.3934/mbe.2015.12.1055
  • G. Zhou and G. Yan, Severe acute respiratory syndrome epidemic in Asia, Emerg. Infect. Dis. 9 (2003), pp. 1608–1610.