`a`
Mathematical Biosciences and Engineering (MBE)
 

Effect of the epidemiological heterogeneity on the outbreak outcomes
Pages: 735 - 754, Issue 3, June 2017

doi:10.3934/mbe.2017041      Abstract        References        Full text (514.5K)           Related Articles

Alina Macacu - Biomathematics and Epidemiology, EPSP - TIMC, UMR 5525 CNRS, Grenoble Alpes University, VetAgro Sup Lyon, 1 avenue Bourgelat - 69280 Marcy l'Etoile, France (email)
Dominique J. Bicout - Biomathematics and Epidemiology, EPSP - TIMC, UMR 5525 CNRS, Grenoble Alpes University, VetAgro Sup Lyon, 1 avenue Bourgelat - 69280 Marcy l'Etoile, France (email)

1 F. R. Adler, The effects of averaging on the basic reproduction ratio, Mathematical Biosciences, 111 (1992), 89-98.
2 R. M. Anderson and R. M. May, Infectious Diseases of Humans/ Dynamics and Control, Oxford Science Publications, Oxford, 1991.
3 D. J. Bicout, Modélisation des Maladies Vectorielles, Habilitation à Diriger des Recherches - Université Joseph Fourier - Grenoble I, 2006.
4 J. D. Brown, D. E. Stallknecht and D. E. Swayne, Experimental infection of swans and geese with highly pathogenic avian influenza virus (H5N1) of asian lineage, Emerging Infectious Diseases, 14 (2008), 136-142.
5 J. D. Brown, D. E. Stallknecht, J. R. Beck, D. L. Suarez and D. E. Swayne, Susceptibility of North american ducks and gulls to (H5N1) highly pathogenic avian influenza viruses, Emerging Infectious Diseases, 12 (2006), 1663-1670.
6 H. Chen, Y. Li, Z. Li, J. Shi, K. Shinya, G. Deng, Q. Qi, G. Tian, S. Fan, H. Zhao, Y. Sun and Y. Kawaoka, Properties and Dissemination of H5N1 Viruses Isolated during an Influenza Outbreak in Migratory Waterfowl in Western China, Journal of Virology , 80 (2006), 5976-5983.
7 H. Chen, G. J. D. Smith, S. Y. Zhang, K. Qin, J. Wang, K. S. Li, R. G. Webster, J. S. M. Peiris and Y. Guan, H5N1 virus outbreak in migratory waterfowl, Nature, 436 (2005), 191-192.
8 M. de Jong, O. Diekmann and H. Heesterbeek, How does transmission of infection depend on population size, In Epidemic models: their structure and relation to data (eds. D. Mollison) Cambridge: Press Syndicate of the University of Cambridge, (1995), 84-94.
9 M. C. M. de Jong, O. Diekmann and J. A. P. Heesterbeek , The computation of $R_0$ for discrete-time epidemic models with dynamic heterogeneity, Mathematical Biosciences, 119 (1994), 97-114.
10 O. Diekmann, J. A. P. Heesterbeek and J. A. J. Metz, On the definition and the computation of the basic reproduction ratio $R_0$ in models for infectious diseases in heterogeneous populations, Journal of Mathematical Biology, 28 (1990), 365-382.       
11 O. Diekmann, J. A. P. Heesterbeek and M. G. Roberts, The construction of next-generation matrices for compartmental epidemic models, Journal of the Royal Society Interface, 7 (2010), 873-885.
12 A. P. Dobson, Population dynamics of pathogens with multiple host species, Am. Nat., 164 (2004), S64-S78.
13 D. Doctrinal, S. Ruette, J. Hars, M. Artois and D. J. Bicout, Spatial and temporal analysis of the highly pathogenic avian influenza (H5N1) outbreak in the Dombes Area, France in 2006, Wildfowl, 2 (2009), 202-214.
14 J. Dushoff and S. Levin, The effects of population heterogeneity on disease invasion, Mathematical Biosciences, 128 (1995), 25-40.
15 P. L. Flint, Applying the scientific method when assessing the influence of migratory birds on the dispersal of H5N1, Virology Journal, 4 (2007), 132 (1-3).
16 L. Gall-Reculé, F. X. Briand, A. Schmitz, O. Guionie, P. Massin and V. Jestin, Double introduction of highly pathogenic H5N1 avian influenza virus into France in early 2006, Avian Pathology, 37 (2008), 15-23.
17 M. Gauthier-Clerc, C. Lebarbenchon and F. Thomas, Recent expansion of highly pathogenic avian influenza H5N1: a critical review, Ibis, 149 (2007), 202-214.
18 V. Guberti and S. H. Newman, Guidelines on Wild Bird Surveillance for Highly Pathogenic Avian Influenza H5N1 Virus, Journal of Wildlife Diseases, 43 (2007), S29-S34.
19 J. Hars, S. Ruette, M. Benmergui, C. Fouque, J. Y. Fournier, A. Legouge, M. Cherbonnel, D. Baroux, C. Dupuy and V. Jestin, The epidemiology of the highly pathogenic H5N1 avian influenza in \textscMute Swan (Cygnus olor) and other Anatidae in the Dombes region (France), 2006, J Wildlife Dis, 44 (2008), 811-823.
20 J. Hars, S. Ruette, M. Benmergui, C. Fouque, J. Y. Fournier, A. Legouge, M. Cherbonnel, D. Baroux, C. Dupuy and V. Jestin, Rôle Epidémiologique du Cygne Tuberculé et des Autres Anatidés Dans L'épisode D'influenza Aviaire H5N1 HP Dans la Dombes en 2006, ONCFS Rapport Scientifique, 2006.
21 J. A. P. Heesterbeek, Abrief history of $R_0$ and a recipe for its calculation, Acta Biotheoretica, 50 (2002), 189-204.
22 D. Kalthoff, A. Breithaupt, J. P. Teifke, A. Globig, T. Harder, T. C. Mettenleiter and M. Beer, Highly pathogenic avian influenza virus (H5N1) in experimentally infected adult mute swans, Emerging Infectious Diseases, 14 (2008), 1267-1270.
23 J. Keawcharoen, D. van Riel, G. van Amerongen, T. Bestebroer, W. E. Beyer, R. van Lavieren, A. D. M. E. Osterhaus, R. A. M. Fouchier and T. Kuiken, Wild ducks as long-distance vectors of highly pathogenic avian influenza virus (H5N1), Emerging Infectious Diseases, 14 (2008), 600-607.
24 F. Keesing, R. D. Holt and R. S. Ostfeld, Effects of species diversity on disease risk, Ecology letters, 9 (2006), 485-498.
25 W. O. Kermack and A. G. McKendrick, A contribution to the mathematical theory of epidemics, Proc. Roy. Soc. Lond. A, 115 (1927), 700-721.
26 H. Kida, R. Yanagawa and Y. Matsuoka, Duck influenza lacking evidence of disease signs and immune response, Infect. Immun, 30 (1980), 547-553.
27 A. M. Kilpatrick, A. A. Chmura, D.W. Gibbons, R. C. Fleischer, P. P. Marra and P. Daszak, Predicting the global spread of H5N1 avian influenza, Proc Natl Acad Sci USA, 103 (2006), 19368-19373.
28 J. Liu, H. Xiao, F. Lei, Q. Zhu, K. Qin, X.-w Zhang, X.-l. Zhang, D. Zhao, G. Wang, Y. Feng, J. Ma, W. Liu, J. Wang and G. F. Gao, Highly pathogenic H5N1 influenza virus infection in migratory birds, Science, 309 (2005), 1206.
29 H. Nishiura, B. Hoye, M. Klaassen, S. Bauer and H. Heesterbeek, How to find natural reservoir hosts from endemic prevalence in a multi-host population: A case study of influenza in waterfowl, Epidemics, 1 (2009), 118-128.
30 B. Olsen, V. J. Munster, A. Wallensten, J. Waldenström, A. D. M. E. Osterhaus and R. A. M. Fouchier, Global Patterns of Influenza A Virus in Wild Birds, Science , 312 (2006), 384-388.
31 M. René and D. J. Bicout, Influenza aviaire: Modélisation du risque d'infection des oiseaux à partir d'étangs contaminés, Epidémiologie et santé animale, 51 (2007), 95-109.
32 A. Satelli, S. Tarantola and K. P.-S. Chan, Quantitative model-independent method for global sensitivity analysis of model output, Technometrics, 41 (1999), 39-56.
33 M. E. J. Woolhouse, L. H. Taylor and D. T. Haydon, Population biology of multi-host pathogens, Science, 292 (2001), 1109-1112.
34 G. Zhang, D. Shoham, S. Davydof, J. D. Castello, S. O. Rogers and D. Gilichinsky, Evidence of influenza A virus RNA in Siberian lake ice, Journal of Virology, 80 (2006), 12229-12235.

Go to top