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Effects of isolation and slaughter strategies in different species on emerging zoonoses

. School of Science, Beijing University of Civil Engineering and Architecture, No. 1, Zhanlanguan Road, Xicheng District, Beijing 100044, China

Zoonosis is the kind of infectious disease transmitting among different species by zoonotic pathogens. Different species play different roles in zoonoses. In this paper, we established a basic model to describe the zoonotic pathogen transmission from wildlife, to domestic animals, to humans. Then we put three strategies into the basic model to control the emerging zoonoses. Three strategies are corresponding to control measures of isolation, slaughter or similar in wildlife, domestic animals and humans respectively. We analyzed the effects of these three strategies on control reproductive numbers and equilibriums and we took avian influenza epidemic in China as an example to show the impacts of the strategies on emerging zoonoses in different areas at beginning.

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Keywords Zoonoses; strategy; isolation; slaughter; species; wildlife; domestic animals; humans

Citation: Jing-An Cui, Fangyuan Chen. Effects of isolation and slaughter strategies in different species on emerging zoonoses. Mathematical Biosciences and Engineering, 2017, 14(5&6): 1119-1140. doi: 10.3934/mbe.2017058


  • [1] L. J. S. Allen, Mathematical Modeling of Viral Zoonoses in Wildlife, Natural Resource Modeling, 25 (2012): 5-51.
  • [2] J. Arino,R. Jordan,P. V. D. Driessche, Quarantine in a multi-species epidemic model with spatial dynamics, Mathematical Biosciences, 206 (2007): 46-60.
  • [3] R. M. Atlas and S. Maloy, One Health: People, Animals, and the Environment, ASM Press, 2014.
  • [4] R. G. Bengis,F. A. Leighton,J. R. Fischer, The role of wildlife in emerging and re-emerging zoonoses, Revue Scientifique Et Technique, 23 (2004): 497-511.
  • [5] F. Brauer and C. Chavez, Mathematical Models in Population Biology and Epidemiology 2$^{nd}$ edition, Springer, 2001.
  • [6] N. Busquets,J. Segals,L. Crdoba, Experimental infection with H1N1 European swine influenza virus protects pigs from an infection with the 2009 pandemic H1N1 human influenza virus, Veterinary Research, 41 (2010): 571-584.
  • [7] China Agricultural Yearbook Editing Committee, ChinaAgriculture Yearbook, China Agriculture Press, China, 2012.
  • [8] G. Chowell, Model parameters and outbreak control for SARS, Emerging Infectious Diseases, 10 (2004): 1258-1263.
  • [9] B. J. Coburn, B. G. Wagner and S. Blower, Modeling influenza epidemics and pandemics: Insights into the future of swine flu (H1N1) Bmc Medicine, 7 (2009), p30.
  • [10] B. J. Coburn,C. Cosne,S. Ruan, Emergence and dynamics of influenza super-strains, Bmc Public Health, 11 (2011): 597-615.
  • [11] R. W. Compans and M. B. A. Oldstone, Influenza Pathogenesis and Control -Volume I, Current Topics in Microbiology & Immunology, 2014.
  • [12] M. R. Conover, Human Diseases from Wildlife, Boca Raton : CRC Press, Taylor & Francis Group, 2014.
  • [13] M. Derouich,A. Boutayeb, An avian influenza mathematical model, Applied Mathematical Sciences, 2 (2008): 1749-1760.
  • [14] K. Dietz, W. H. Wernsdorfer and I. Mcgregor, Mathematical Models for Transmission and Control of Malaria, Malaria, 1988.
  • [15] A. Dobson, Population dynamics of pathogens with multiple host species, American Naturalist, 164 (2004): 64-78.
  • [16] P. Van Den Driessche,J. Watmough, Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Mathematical Biosciences, 180 (2002): 29-48.
  • [17] X. Fang, The Role of Mammals in Epidemiology, Acta Theriologica Sinica, 2 (1981): 219-224.
  • [18] Z. Feng, Final and peak epidemic sizes for SEIR models with quarantine and isolation, Mathematical Biosciences & Engineering, 4 (2007): 675-686.
  • [19] Z. Feng, Applications of Epidemiological Models to Public Health Policymaking, World Scientific, 2014.
  • [20] A. Fritsche,R. Engel,D. Buhl, Mycobacterium bovis tuberculosis: From animal to man and back, International Journal of Tuberculosis & Lung Disease the Official Journal of the International Union Against Tuberculosis & Lung Disease, 8 (2004): 903-904.
  • [21] S. Iwami,Y. Takeuchi,X. Liu, Avian-Chuman influenza epidemic model, Mathematical Biosciences, 207 (2007): 1-25.
  • [22] A. M. Kilpatrick,S. E. Randolph, Drivers, dynamics, and control of emerging vector-borne zoonotic diseases, Lancet, 380 (2012): 1946-1955.
  • [23] J. Lee,J. Kim,H. D. Kwon, Optimal control of an influenza model with seasonal forcing and age-dependent transmission rates, Journal of Theoretical Biology, 317 (2013): 310-320.
  • [24] J. S. Mackenzie, One Health: The Human-Animal-Environment Interfaces in Emerging Infectious Diseases, Springer, Berlin, 2013.
  • [25] A. Mubayi, A cost-based comparison of quarantine strategies for new emerging diseases, Mathematical Biosciences & Engineering, 7 (2010): 687-717.
  • [26] R. A. Saenz,H. W. Hethcote,G. C. Gray, Confined animal feeding operations as amplifiers of influenza, Vector Borne & Zoonotic Diseases, 6 (2006): 338-346.
  • [27] P. M. Sharp,B. H. Hahn, Cross-species transmission and recombination of 'AIDS' viruses, Philosophical Transactions of the Royal Society B Biological Sciences, 349 (1995): 41-47.
  • [28] A. Sing, Zoonoses -Infections Affecting Humans and Animals, Springer Netherlands, Berlin, 2015.
  • [29] S. Towers,Z. Feng, Pandemic H1N1 influenza: predicting the course of a pandemic and assessing the efficacy of the planned vaccination programme in the United States, European Communicable Disease Bulletin, 14 (2009): 6-8.
  • [30] Q. Xian,L. Cui,Y. Jiao, Antigenic and genetic characterization of a European avian-like H1N1 swine influenza virus from a boy in China in 2011, Archives of Virology, 158 (2013): 39-53.
  • [31] W. D. Zhang, Optimized strategy for the control and prevention of newly emerging influenza revealed by the spread dynamics model, Plos One, 91 (2014): 5-51.
  • [32] J. Zhang,Z. Jin,G. Q. Sun, Modeling seasonal rabies epidemics in China, Bulletin of Mathematical Biology, 74 (2012): 1226-1251.


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