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

  • G. Camelo-Neto
  • Ana T. C. Silva
  • L. Giuggioli
  • V. M. KenkreEmail author
Original Article

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.

Keywords

Hantavirus epidemic Predator Control of spread 

References

  1. 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. CrossRefGoogle Scholar
  2. Abramson, G., Kenkre, V.M., 2002. Spatio-temporal patterns in the Hantavirus infection. Phys. Rev. E 66, 011912-1-5. CrossRefGoogle Scholar
  3. Abramson, G., Kenkre, V.M., Yates, T.L., Parmenter, R.R., 2003. Bull. Math. Biol. 65, 519. CrossRefGoogle Scholar
  4. 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. CrossRefGoogle Scholar
  5. 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
  6. 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
  7. 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. CrossRefGoogle Scholar
  8. 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. CrossRefMathSciNetGoogle Scholar
  9. 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. Google Scholar
  10. Kenkre, V.M., 2005. Statistical mechanical considerations in the theory of epidemics. Physica A 356, 121–126. CrossRefGoogle Scholar
  11. Kenkre, V.M., Reineker, P., 1982. Exciton Dynamics in Molecular Crystals and Aggregates. Springer, Berlin. CrossRefGoogle Scholar
  12. 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. CrossRefGoogle Scholar
  13. King, J.A. (ed.). 1968. Biology of Peromyscus (Rodentia). The American Society of Mammalogists, Stillwater. Special Publication No. 2. Google Scholar
  14. 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. CrossRefGoogle Scholar
  15. Pope, M., Swenberg, C.E., 1999. Electronic Processes in Organic Crystals and Polymers. Oxford, New York. Google Scholar
  16. Pulkkinen, K., Ebert, D., 2006. Persistence of host and parasite populations subject to experimental size-selective removal. Oecologia 149, 72–80. CrossRefGoogle Scholar
  17. 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. CrossRefGoogle Scholar

Copyright information

© Society for Mathematical Biology 2007

Authors and Affiliations

  • G. Camelo-Neto
    • 1
  • Ana T. C. Silva
    • 1
    • 2
  • L. Giuggioli
    • 1
  • V. M. Kenkre
    • 1
    Email author
  1. 1.Consortium of the Americas for Interdisciplinary Science and Department of PhysicsUniversity of New MexicoAlbuquerqueUSA
  2. 2.Departamento de FísicaUniversidade Estadual de Feira de SantanaFeira de SantanaBrazil

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