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All issues Volume 5 / No 3 (2010) Math. Model. Nat. Phenom., 5 3 (2010) 191-205 References
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Issue
Math. Model. Nat. Phenom.
Volume 5, Number 3, 2010
Mathematical modeling in the medical sciences
Page(s) 191 - 205
DOI https://doi.org/10.1051/mmnp/20105312
Published online 28 April 2010
  1. J. Arino, F. Brauer, P. van den Driessche, J. WatmoughJ. Wu. Simple models for containment of a pandemic. J. R. Soc. Interface, 3 (2006), 453–457. [Google Scholar]
  2. D.M. Bell. World Health Organization Writing Group. Nonpharmaceutical interventions for pandemic influenza, international measures. Emerg. Infect. Dis., 14 (2008), No. 7, 1024–1030. [CrossRef] [PubMed] [Google Scholar]
  3. F. Brauer. Age of infection in epidemiology models. Elect. J. Dif. Eqs., 12 (2005), 29–37. [Google Scholar]
  4. S. Cauchemez, A.J. Valleron, P.Y. Boelle, A. FlahaultN.M. Ferguson. Estimating the impact of school closure on influenza transmission from sentinel data. Nature, 452 (2008), 750–754. [CrossRef] [PubMed] [Google Scholar]
  5. F. Carrat, E. Vergu, N.M. Feguson, M. Lemaitre, S. Cauchemez, S. LeachA-J. Valleron. Time Lines of Infection and Disease in Human Influenza: A Review of Volunteer Challenge Studies. Am. J. Epid., 167 (2008), No. 7, 775–785. [CrossRef] [Google Scholar]
  6. G. Chowell, C.E. Ammon, N.W. HengartnerJ.M. Hyman. Estimation of the Reproductive number of the Spanish Flu Epidemic in Geneva, Switzerland. Vaccine, 24 (2006), 6747–6750. [CrossRef] [PubMed] [Google Scholar]
  7. B.J. Cowling, E.H.Y. Lau, C.L.H. Lam, C.K.Y. Cheng, J. Kovar, K.H. Chan, J.S. Malik Peiris, G.M. Leung. Effects of school closures, 2008 winter influenza season, Hong Kong. Emerg. Infect. Dis., 11 (2006), No. 1, 81–87. [Google Scholar]
  8. J. Dushoff, J.B. Plotkin, S. LevinD.J.D. Earn. Dynamical resonance can account for seasonality of influenza epidemics. Proc. Natl. Acad. Sci. USA, 101 (2004), No. 48, 16915–16916. [CrossRef] [Google Scholar]
  9. A. Flahault, S. Letrait, P. Blin, S. Hazout, J. MenaresA.J. Valleron. Modeling the 1985 influenza epidemic in France. Stat. Med., 7 (1988), 1147–1155. [CrossRef] [PubMed] [Google Scholar]
  10. Z. Feng, W. HuangC. Castillo-Chavez. Global behavior of a multi-group SIS epidemic model with age structure. J. Dif. Eq., 218 (2005), 292–324. [CrossRef] [Google Scholar]
  11. A. Flahault, S. Letrait, P. Blin, S. Hazout, J. MenaresA.J. Valleron. Modeling the 1985 influenza epidemic in France. Stat. Med., 7 (1988), 1147–1155. [CrossRef] [PubMed] [Google Scholar]
  12. A.L. Frank, L.H. Taber, C.R. Wells, J.M. Wells, W.P. GlezenA. Paredes. Patterns of shedding of myxoviruses and paramyxoviruses in children. J. Infect. Dis., 144 (1981), 433–441. [PubMed] [Google Scholar]
  13. C. Fraser, S. Riley, R.M. AndersonN.M. Ferguson. Factors that make an infectious disease outbreak controllable, Proc. Natl. Acad. Sci. USA, 101 (2004), No. 16, 6146–6151. [CrossRef] [PubMed] [Google Scholar]
  14. C. Fraser, C.A. Donnelly, S. Cauchemez, W.P. Hanage, M.D. VanKerkhove, T.D. Hollingsworth, J. Griffin, R.F. Baggaley, H.E. Jenkins, E.J. Lyons, T. Jombart, W.R. Hinsley, N.C. Grassly, F. Balloux, A.C. Ghani, N.M. Ferguson, A. Rambaut, O.G. Pybus, H. Lopez-Gatell, C.M Alpuche-Aranda, L.B. Chapela, E.P. Zavala, D.M. Espejo Guevara, F. Checchi, E. Garcia, S. Hugonnet, C. Roth. Pandemic Potential of a Strain of Influenza A (H1N1): Early Findings. Science, published online May 11, 2009. [Google Scholar]
  15. R. Gani, H. Hughes, D. Fleming, T. Griffin, J. MedlockS. Leach. Potential impact of antiviral drug use during influenza pandemic. Emerg. Infect. Dis., 11 (2005), 1355–1362. [PubMed] [Google Scholar]
  16. T.C. Germann, K. Kadau, I.M. LonginiC.A. Macken. Mitigation strategies for pandemic influenza in the United States. Proc. Natl. Acad. Sci. USA, 103 (2006), 5935–5940. [Google Scholar]
  17. J.M. Graat, E.G. Schouten, M.-L.A. Heijnen, F..J. Kok, E.G.M. Pallast, S.C. deGreeffJ.W. Dorigo-Zetsma. A prospective, community-based study on virologic assessment among elderly people with and without symptoms of acute respiratory infection. J. Clin. Epidemiol., 56 (2003), No. 12, 1218–1223. [CrossRef] [PubMed] [Google Scholar]
  18. C.B. Hall, R.G. Douglas, Jr., J.M. GeimanM.P Meagher. Viral shedding patterns of children with influenza B infection. J. Infect. Dis., 140 (1979), 610–613. [PubMed] [Google Scholar]
  19. F.G. Hayden, R.Scott. Fritz, M.C. Lobo, W.G. Alvord, W. StroberS.E. Straus. Local and systemic cytokine responses during experimental human influenza A virus infection. Relation to symptom formation and host defense. J. Clin. Invest., 101 (1998), 643–649. [CrossRef] [PubMed] [Google Scholar]
  20. H.W. Hethcote. A thousand and one epidemic models. Frontiers in Mathematical Biology, Lecture Notes in Biomathematics 100, S.A. Levin, ed., Springer-Verlag (1994), 504–515. [Google Scholar]
  21. L.M. Howe. Could the new swine virus be a Òherald waveÓ? Earthfiles.com Environment, published online. Accessed June 1, 2009. [Google Scholar]
  22. S.B. HsuY.H. Hsieh. On the Role of Asymptomatic Infection in Transmission Dynamics of Infectious Diseases. Bull. Math. Biol., 70 (2008), 134–155. [CrossRef] [MathSciNet] [PubMed] [Google Scholar]
  23. H. Inaba.H. Nishiura. The basic reproduction number of an infectious disease in a stable population: The impact of population growth rate on the eradication threshold. Math. Model. Nat. Phen., 3 (2008), No. 7, 194–228. [CrossRef] [EDP Sciences] [Google Scholar]
  24. H. Inaba.H. Nishiura. The state-reproduction number for a multistate class age structured epidemic system and its application to the asymptomatic transmission model. Math. Biosci., 216 (2008), 77–89. [CrossRef] [MathSciNet] [PubMed] [Google Scholar]
  25. A.J. Johnson, Z.S. Moore, P.J. Edelson, L. Kinnane, M. Davies, D.K. Shay, A. Balish, M. McCarron, L. Blanton, L. Finelli, F. Averhoff, J. Bresee, J. EngelA. Fiore. Household responses to school closure resulting from outbreak of influenza B, North Carolina. BNET: Health Care Industry. Emerg. Infect. Dis., 14 (2008), No. 7, 1024–1030. [CrossRef] [PubMed] [Google Scholar]
  26. W.O. KermackA.G. McKendrick. A contribution to the mathematical theory of epidemics. Proc. Roy. Soc. London, 115 (1927), 700–721. [Google Scholar]
  27. J. Lessler, D.A. Cummings, S. Fishman, A. VoraD.S. Burke. Transmissibility of swine flu at Fort Dix, 1976. J. Roy. Soc. Interface, 4 (2007), No. 15, 55–762. [Google Scholar]
  28. I.M. Longini, M.E. Halloran, A. NizamY Yang. Containing pandemic influenza with antiviral agents. Am. J. Epidemiol., 159 (2004), 623–633. [CrossRef] [PubMed] [Google Scholar]
  29. I.M. Longini, Jr., A. Nizam, S. Xu, K. Ungschusak, W. Hanshaoworakul, D.A.T. CummingsM.E. Halloran. Containing pandemic influenza at the source. Science, 309 (2005), 1083–1087. [CrossRef] [PubMed] [Google Scholar]
  30. J.T. MacfarlaneW.S. Lim. Bird flu and pandemic flu. British Medical Journal., 331 (2005), 975–976. [CrossRef] [PubMed] [Google Scholar]
  31. C.E. Mills, J.M. Robins, M. Lipsitch. Transmissibility of 1918 pandemic influenza. Nature 432, (2004), 904–906. [CrossRef] [PubMed] [Google Scholar]
  32. G.J. Milne, J.K. Kelso, H.A. Kelly, S.T. Huband, J. McVernon. A small community model for the transmission of infectious diseases: comparison of school closure as an intervention in individual-based models of an influenza pandemic. PLoSONE, 3 (2008) No. 12, e4005. [Google Scholar]
  33. S.M. Mniszewski, S.Y. Del Valle, P.D. Stroud, J.M. RieseS.J. Sydoriak. Pandemic simulation of antivirals + school closures: buying time until strain-specific vaccine is available. Comp. & Math. Organ. Theory 14 (2008), No. 3, 209–221. [CrossRef] [Google Scholar]
  34. A.S. Monto, R.A. Gunn, M.G. BandykC.L. King. Prevention of Russian influenza by amantadine. JAMA, 241 (1979), 1003–1007. [CrossRef] [PubMed] [Google Scholar]
  35. I. Nafta I, A.G. Turcanu, I. Braun, W. Companetz, A. Simionescu, E. BirtV. Florea. Administration of amantadine for the prevention of Hong Kong influenza. Bull. World Health Organ., 42 (1970), 423–427. [PubMed] [Google Scholar]
  36. W. Ndifon, J. DushoffS.A. Levin. On the use of hemagglutination-inhibition for influenza surveillance: Surveillance data are predictive of influenza vaccine effectiveness. Vaccine, 27 (2009), No. 18, 2447–2452. [CrossRef] [PubMed] [Google Scholar]
  37. H. Nishiura, C. Castillo-Chavez, M. Safan, G. Chowell. Transmission potential of the new influenza A(H1N1) virus and its age-specificity in Japan. Eurosurveillance, 14 (2009), No. 22, Rapid Communications. [Google Scholar]
  38. N. Oker-Blom, T. Hovi, P. Leinikki, T. Palosuo, R. PetterssonJ. Suni. Protection of man from natural infection with influenza A2 Hong Kong virus by amantadine: a controlled field trial. Brit. Med. J., 3 (1970), 676–678. [CrossRef] [Google Scholar]
  39. R.F. Pettersson, P.-E. Hellstrom, K. Penttinen, R. Pyhala, O. Tokola, T. Vartio, R. Visakorpi. Evaluation of amantadine in the prophylaxis of influenza A (H1N1) virus infection: a controlled field trial among young adults and high-risk patients. J. Infect. Dis., 142 (1980), 377–383. [PubMed] [Google Scholar]
  40. J.M. Quarles, R.B. Couch, T.R. CateC.B. Goswick. Comparison of amantadine and rimantadine for prevention of type A (Russian) influenza. Antiviral Res., 1 (1981), 149–155. [CrossRef] [PubMed] [Google Scholar]
  41. M.Z. Sadique, E.J. AdamsW.J. Edmunds. Estimating the costs of school closure for mitigating an influenza pandemic. BMC Public Health, 8 (2008), 135. [CrossRef] [PubMed] [Google Scholar]
  42. N. Senpinar-Brunner, T. EckertK. Wyss. Acceptance of public health measures by air travelers, Switzerland. Emerg. Infect. Dis. 15 (2009), No. 5, 831–832. [CrossRef] [PubMed] [Google Scholar]
  43. K. Sheat. An investigation into an explosive outbreak of influenza-New Plymouth. Communicable Disease New Zealand, 92 (1992), 18–19. [Google Scholar]
  44. M. Sato, M. Hosoya, K. KatoH. Suzuki. Viral shedding in children with influenza virus infections treated with neuraminidase inhibitors. Pediatr. Infect. Dis. J., 24 (2005), 931–932. [CrossRef] [PubMed] [Google Scholar]
  45. N.I. Stilianakis, A.S. PerelsonF.G. Hayden. Emergence of drug resistance during an influenza epidemic: insights from a mathematical model. J. Infect. Dis., 177 (1998), No. 4, 863–873. [PubMed] [Google Scholar]
  46. World Health Organization. Nonpharmaceutical Interventions for Pandemic Influenza, International Measures. Emerg. Infect. Dis. 12 (2006), No 1, 81–87. [Google Scholar]
  47. G.F. Webb. An age-dependent epidemic model with spatial diffusion. Arch. Rat. Mech., 75 (1980), 91–102. [Google Scholar]

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