Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

AN SIRS EPIDEMIC MODEL ON A DISPERSIVE POPULATION

  • Ghosh, Asit K. (Embryology Research Unit, Indian Statistical Institute) ;
  • Chattopadhyay, J. (Embryology Research Unit, Indian Statistical Institute) ;
  • Tapaswi, P.K. (Embryology Research Unit, Indian Statistical Institute)
  • Published : 2000.09.01

⟨ Previous Next ⟩

Abstract

The spatial spread of a disease in an SIRS epidemic model with immunity imparted by subclinical infection on a population has been considered. The incidence rate of infection and the rate of immunization are both of nonlinear type. The dynamics of the infectious disease and its endemicity in local and global sense have been investigated.

Keywords

References

  1. Infectious Diseases of Humans: Dynamics and Control R. M. Anderson;R. M. May
  2. Science v.264 Mathematical studies of parasitic infection and immunity R. M. Anderson
  3. The Theory of Equations W. S. Burnside;A. W. Panton
  4. Math. Biosci. v.42 A generalization of the kermack-mckendrick deterministic epidemic model V. Capasso;G. Serio
  5. Stability of Reaction and Transport Processes M. M. Denn
  6. Cybernetica v.XXXVIII no.2 An SIRB eqidemiological model with immunity caused by low level of infection Asit K. Ghosh;P. K. Tapaswi
  7. Ecolog. Modell. v.87 Immunity boosted by low level of exposure to infection in an SIRS model Asit K. Ghosh;J. Chattopadhyay;P. K. Tapaswi
  8. J. Theor. Biol. v.52 The regulation of inhomogeneous populations W. S. C. Gurney;R. M. Nisbet
  9. SIAM J. Appl. Math. v.40 Nonlinear oscillations in epidemic models H. W. Hethcote;H. W. Stech;P. van den Driessche, P.
  10. BioSys. v.24 Density dependent diffusional model of an infective population F. Lara-Ochoa;P. Bustos
  11. BioSys. v.25 A model for aggregation-dispersion dynamics of a population F. Lara-Ochoa;P. Bustos
  12. J. Math. Biol. v.23 Influence of nonlinear incidence rates upon the behaviour of SIRS epidemiological models W. M. Liu;S. A. Levin;Y. Iwasa
  13. J. Math. Biol. v.25 Dynamical behaviour of epidemiological models with nonlinear incidence rates W. M. Liu;H. W. Hethcote;S. A. Levin
  14. Mathematical Biology J. D. Murray
  15. Diffusion and Ecological problems: Mathematical Models A. Okubo