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Hantavirus Transmission in Sylvan and Peridomestic Environments

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Abstract

We developed a compartmental model for hantavirus infection in deer mice (Peromyscus maniculatus) with the goal of comparing relative importance of direct and indirect transmission in sylvan and peridomestic environments. A direct transmission occurs when the infection is mediated by the contact of an infected and an uninfected mouse, while an indirect transmission occurs when the infection is mediated by the contact of an uninfected mouse with, for instance, infected soil. Based on population dynamics data and estimates of hantavirus decay in the two types of environments, our model predicts that direct transmission dominates in the sylvan environment, while both pathways are important in peridomestic environments. The model allows us to compute a basic reproduction number R 0, which indicates whether the virus will be endemic or eradicated from the mouse population, in both an autonomous and a time-periodic model. Our analysis can be used to evaluate various eradication strategies.

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References

  • Abbott, K.D., Ksiazek, T.G., Mills, J.N., 1999. Long-term hantavirus persistency in rodent populations in central Arizona. Emerg. Infect. Dis. 5, 102–112.

    Article  Google Scholar 

  • Abramson, G., Kenkre, V.M., 2002. Spatiotemporal patterns in the hantavirus infection. Phys. Rev. E 66, 011912.

    Article  Google Scholar 

  • Abramson, G., Kenkre, V.M., Yates, T.L., Parmenter, R.R., 2003. Travelling waves of infection in the hantavirus epidemics. Bull. Math. Biol. 65, 271–281.

    Article  Google Scholar 

  • Allen, L.J.S., Langlais, M., Phillips, C., 2003. The dynamics of two viral infections in a single host population with application to hantavirus. Math. Biosci. 186, 191–217.

    Article  MathSciNet  MATH  Google Scholar 

  • Allen, L.J.S., McCormack, R.K., Jonsson, C.B., 2006. Mathematical models for hantavirus infection in rodents. Bull. Math. Biol. 68, 511–524.

    Article  MathSciNet  Google Scholar 

  • Armstrong, L.R., Zaki, S.R., Goldoft, M.J., Todd, R.L., Khan, A.S., Khabbaz, R.F., Ksiazek, T.G., Peters, C.J., 1995. Hantavirus pulmonary syndrome associated with entering or cleaning rarely used, rodent-infested structures. J. Infect. Dis. 172, 1166.

    Google Scholar 

  • Bacaer, N., 2007. Approximation of the basic reproduction number R 0 for vector borne diseases with a periodic vector population. Bull. Math. Biol. 69, 1067–1091.

    Article  MathSciNet  MATH  Google Scholar 

  • Calisher, C.H., Root, J.J., Mills, J.N., Beaty, B.J., 2003. Hantaviruses: etiologic agents of rare, but potentially life-threatening zoonotic diseases. J. Am. Vet. Med. Assoc. 222, 163–166.

    Article  Google Scholar 

  • Calisher, C.H., Sweeney, W., Mills, J.N., Beaty, B.J., 1999. Natural history of Sin Nombre virus in western Colorado. Emerg. Infect. Dis. 5, 126–134.

    Article  Google Scholar 

  • CDC MMWR, 2002. Hantavirus pulmonary syndrome—United States: updated recommendations for risk reduction. Center Dis. Control Morb. Mort. Weekly Rep. 51, 1–12.

    Google Scholar 

  • Centers for Disease Control and Prevention, 2007. Case information: hantavirus pulmonary syndrome case count and descriptive statistics as of March 2007. National Center for Infectious Diseases, Special Pathogens Branch

  • Childs, J.E., Ksiazek, T.G., Spiropoulou, C.F., Krebs, J.W., Morzunov, S., Maupin, G.O., Rollin, P.E., Sarisky, J., Enscore, R.E., 1994. Serologic and genetic identification of Peromyscus maniculatus as the primary rodent reservoir for a new hantavirus in southwestern United States. J. Infect. Dis., 1271–1280.

  • Diekmann, O., Heesterbeek, J.A.P., Metz, J.A.J., 1990. On the definition and the computation of the basic reproduction ratio R 0 in models for infectious diseases in heterogeneous populations. J. Math. Biol. 28, 365.

    Article  MathSciNet  MATH  Google Scholar 

  • Douglass, R.J., Semmens, W.J., Matlock-Cooley, S.J., Kuenzi, A.J., 2006. Deer mouse movements in peridomestic and sylvan settings in relation to Sin Nombre virus antibody prevalence. J. Wildlife Dis. 42(4), 813–818.

    Google Scholar 

  • Douglass, R.J., Wilson, T., Semmens, W.J., Zanto, S.N., Bond, C.W., Van Horn, R.C., Mills, J.N., 2001. Longitudinal studies of Sin Nombre virus in deer mouse dominated ecosystems in Montana. Am. J. Trop. Med. Hyg. 65(1), 33–41.

    Google Scholar 

  • Glass, G.E., Watson, A.J., LeDuc, J.W., Kelen, G.D., Quinn, T.C., Childs, J.E., 1993. Infection with a rat- borne hantavirus in United States residents is consistently associated with hypertensive renal disease. J. Infect. Dis. 167, 614–619.

    Google Scholar 

  • Hale, J., Kocak, H., 1991. Dynamics and Bifurcations. Springer, Berlin.

    MATH  Google Scholar 

  • Kalio, E., Klingstrom, J., Gustafsson, E., Manni, T., Vaheri, A., Henttonen, H., Vapalahti, O., Lundkvist, A., 2006. Prolonged survival of Puumala hantavirus outside the host: evidence for indirect transmission via the environment. J. Gen. Virol. 87, 2127–2134.

    Article  Google Scholar 

  • Kenkre, V.M., Giuggioli, L., Abramson, G., Camelo-Neto, G., 2007. Theory of hantavirus infection spread incorporating localized adult and itinerant juvenile mice. Eur. Phys. J. 55, 461–470.

    Google Scholar 

  • Khan, A.S., et al., 1996. Hantavirus pulmonary syndrome: the first 100 US cases. J. Infect. Dis. 173, 1297–1303.

    Google Scholar 

  • King, J.A., 1968. Biology of Peromyscus (Rodentia), 1st edn. The American Society of Mammalogists, Stillwater.

    Google Scholar 

  • King, J.A., 1983. Seasonal dispersal in a semi-natural population of Peromyscus maniculatus. Can. J. Zool. 61(12), 11.

    Article  Google Scholar 

  • Krebs, C.J., 1966. Demographic changes in fluctuating populations of Microtus californicus. Ecol. Monogr. 36, 239–273.

    Article  Google Scholar 

  • Kuenzi, A.J., Douglass, R.J., White, D. Jr., Bond, C.W., Mills, J.N., 2001a. Antibody to Sin Nombre virus in rodents associated with peridomestic habitats in west central Montana. Am. J. Trop. Med. Hyg. 64, 137–146.

    Google Scholar 

  • Kuenzi, A.J., Douglass, R.J. Jr., White, D., Bond, C.W., Mills, J.N., 2001b. Antibody to Sin Nombre virus in rodents associated with peridomestic habitats in west central Montana. Am. J. Trop. Med. Hyg. 64, 137–146.

    Google Scholar 

  • Kuenzi, A.J., Douglass, R.J., Bond, C.W., Calisher, C.H., Mills, J.N., 2005. Long-term dynamics of Sin Nombre viral RNA and antibody in deer mice in Montana. J. Wildlife Dis. 41, 473–481.

    Google Scholar 

  • Kuenzi, A.J., Morrison, M.L., Swann, D.E., Hardy, P.C., Downard, G.T., 1999. A longitudinal study of Sin Nombre virus prevalence in rodents in southwestern Arizona. Emerg. Infect. Dis. 5, 113–117.

    Article  Google Scholar 

  • Kuenzi, A.J., Zumbrun, M.M., Hughes, K., 2005. Ear tags versus passive integrated transponder (pit) tags for effectively marking deer mice. Int. J. Sci. 11, 66–70.

    Google Scholar 

  • Lee, P.W., Amyx, H.L., Yanagihara, R., Gajdusek, D.C., Goldgaber, D., Gibbs, C.J. Jr., 1985. Partial characterization of Prospect Hill virus isolated from meadow voles in the United States. J. Infect. Dis. 152, 826–829.

    Google Scholar 

  • Mills, J.N., Ksiazek, T.G., Peters, C.J., Childs, J.E., 1999. Long-term studies of hantavirus reservoir populations in the southwestern United States: a synthesis. Emerg. Infect. Dis. 5, 135–142.

    Article  Google Scholar 

  • Nichol, S.T., Spiropoulou, C.F., Morzunov, S., Rollin, P.E., Ksiazek, T.G., Feldmann, H., Sanchez, A., Childs, J., Zaki, S., Peters, C.J., 1993. Genetic identification of a hantavirus associated with an outbreak of acute respiratory illness. Science 262, 914–917.

    Article  Google Scholar 

  • Padula, P., Figueroa, R., Navarrete, M., Pizarro, E., Cadiz, R., Bellomo, C., Jofre, C., Zaror, L., Rodriguez, E., Murua, R., 2004. Transmission study of Andes hantavirus infection in wild sigmodontine rodents. J. Virol., 11972–11979.

  • Sauvage, F., Langlais, M., Yoccoz, N.G., Pontier, D., 2003. Modeling hantavirus in fluctuating populations of bank voles: the role of indirect transmission on virus persistence. J. Anim. Ecol. 72, 1–13.

    Article  Google Scholar 

  • Schmaljohn, C., Huggins, J., Calisher, C.H., 1999. Laboratory and field safety. In Lee, H.W., Calisher, C.H., Schmaljohn, C. (Eds.), Manual of Hemorrhagic Fever with Renal Syndrome and Hantavirus Pulmonary Syndrome, pp. 192–198. WHO Collaborating Center for Virus Reference and Research (Hantaviruses), Asian Institute for Life Sciences, Seoul, Korea.

  • Shechmeister, I.L., 1991. Sterilization by ultraviolet irradiation. In: Block, S.S. (Ed.), Disinfection, Sterilization, and Preservation, p. 553. Lea and Febiger, Philadelphia

    Google Scholar 

  • Tsai, T.F., 1987. Hemorrhagic fever with renal syndrome: mode of transmission to humans. Lab. Anim. Sci. 37, 430.

    Google Scholar 

  • van den Driessche, P., Watmough, J., 2002. Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Math. Biosci. 10, 29–48.

    Google Scholar 

  • Wolf, C., 2004. A mathematical model for the propagation of a hantavirus in structured populations. Discrete Contin. Dyn. Syst. B 4(4), 1065–1089.

    Article  MATH  Google Scholar 

  • Wolf, C., Langlais, M., Sauvage, F., Pontier, D., 2006. A multi-patch epidemic model with periodic demography, direct and indirect transmission and variable maturation rate. Math. Popul. Stud. 13(3), 153–177.

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to Tomáš Gedeon.

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Gedeon, T., Bodelón, C. & Kuenzi, A. Hantavirus Transmission in Sylvan and Peridomestic Environments. Bull. Math. Biol. 72, 541–564 (2010). https://doi.org/10.1007/s11538-009-9460-4

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