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Effect of Predators of Juvenile Rodents on the Spread of the Hantavirus Epidemic

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Abstract

Effects of predators of juvenile mice on the spread of the Hantavirus are analyzed in the context of a recently proposed model. Two critical values of the predation probability are identified. When the smaller of them is exceeded, the hantavirus infection vanishes without extinguishing the mice population. When the larger is exceeded, the entire mice population vanishes. These results suggest the possibility of control of the spread of the epidemic by introducing predators in areas of mice colonies in a suitable way so that such control does not kill all the mice but lowers the epidemic spread.

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References

  • Aguirre, M.A., Abramson, G., Bishop, A.R., Kenkre, V.M., 2002. Simulations in the mathematical modeling of the spread of the Hantavirus. Phys. Rev. E 66, 041908-1-5.

    Article  Google Scholar 

  • Abramson, G., Kenkre, V.M., 2002. Spatio-temporal patterns in the Hantavirus infection. Phys. Rev. E 66, 011912-1-5.

    Article  Google Scholar 

  • Abramson, G., Kenkre, V.M., Yates, T.L., Parmenter, R.R., 2003. Bull. Math. Biol. 65, 519.

    Article  Google Scholar 

  • Abramson, G., Giuggioli, L., Kenkre, V.M., Dragoo, J., Parmenter, R.R., Parmenter, C.A., Yates, T.L., 2005. Diffusion and home range parameters for rodents: Peromyscus Maniculatus in New Mexico. Ecol. Complex. 3, 64–70.

    Article  Google Scholar 

  • Buceta, J., Escudero, C., de la Rubia, F.J., Lindenberg, K., 2004. Outbreaks of Hantavirus induced by seasonality. Phys. Rev. E 69, 021906-1-8.

    Google Scholar 

  • Escudero, C., Buceta, J., de la Rubia, F.J., Lindenberg, K., 2004. Effects of internal fluctuations on the spreading of Hantavirus. Phys. Rev. E 70, 061907-1-7.

    Google Scholar 

  • Giuggioli, L., Abramson, G., Kenkre, V.M., Suzán, G., Marcé, E., Yates, T.L., 2005. Diffusion and home range parameters from rodent population measurements in Panama. Bull. Math. Biol. 67, 1135–1149.

    Article  Google Scholar 

  • Giuggioli, L., Abramson, G., Kenkre, V.M., Parmenter, R.R., Yates, T.L., 2006. Theory of home range estimation from displacement measurements of animal populations. J. Theor. Biol. 240, 126–135.

    Article  MathSciNet  Google Scholar 

  • Kenkre, V.M., 2003. Memory formalism, nonlinear techniques, and kinetic equation approaches. In: V.M. Kenkre, K. Lindenberg (Eds.), Modern Challenges in Statistical Mechanics: Patterns, Noise, and the Interplay of Nonlinearity and Complexity, AIP Proc., vol. 658, pp. 63–102. Melville.

  • Kenkre, V.M., 2005. Statistical mechanical considerations in the theory of epidemics. Physica A 356, 121–126.

    Article  Google Scholar 

  • Kenkre, V.M., Reineker, P., 1982. Exciton Dynamics in Molecular Crystals and Aggregates. Springer, Berlin.

    Book  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. B 55, 461–470.

    Article  Google Scholar 

  • King, J.A. (ed.). 1968. Biology of Peromyscus (Rodentia). The American Society of Mammalogists, Stillwater. Special Publication No. 2.

    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 

  • Pope, M., Swenberg, C.E., 1999. Electronic Processes in Organic Crystals and Polymers. Oxford, New York.

    Google Scholar 

  • Pulkkinen, K., Ebert, D., 2006. Persistence of host and parasite populations subject to experimental size-selective removal. Oecologia 149, 72–80.

    Article  Google Scholar 

  • Yates, T.L., Mills, J.N., Parmenter, C.A., Ksiazek, T.G., Parmenter, R.R., Vande Castle, J.R., Calisher, C.H., Nichol, S.T., Abbott, K.D., Young, J.C., Morrison, M.L., Beaty, B.J., Dunnum, J.L., Baker, R.J., Salazar-Bravo, J., Peters, C.J., 2002. The ecology and evolutionary history of an emergent disease, hantavirus pulmonary syndrome. Bioscience 52, 989–998.

    Article  Google Scholar 

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Authors and Affiliations

  1. Consortium of the Americas for Interdisciplinary Science and Department of Physics, University of New Mexico, Albuquerque, NM, 87131, USA

    G. Camelo-Neto, Ana T. C. Silva, L. Giuggioli & V. M. Kenkre

  2. Departamento de Física, Universidade Estadual de Feira de Santana, Feira de Santana, BA, 44031-460, Brazil

    Ana T. C. Silva

Authors
  1. G. Camelo-Neto
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  2. Ana T. C. Silva
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  3. L. Giuggioli
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  4. V. M. Kenkre
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Correspondence to V. M. Kenkre.

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Camelo-Neto, G., Silva, A.T.C., Giuggioli, L. et al. Effect of Predators of Juvenile Rodents on the Spread of the Hantavirus Epidemic. Bull. Math. Biol. 70, 179–188 (2008). https://doi.org/10.1007/s11538-007-9247-4

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  • DOI: https://doi.org/10.1007/s11538-007-9247-4

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