A NON-MARKOVIAN EVOLUTION MODEL OF HIV POPULATION WITH BUNCHING BEHAVIOUR

  • Sridharan, V. (Department of Mathematics Anna University) ;
  • Jayshree, P.R. (Department of Mathematics Anna University)
  • 발행 : 1998.09.01

초록

In this paper we propose a model of HIv population through method of phases with non-Markovian evolution of immi-gration. The analysis leads to an explicit differnetial equations for the generating functions of the total population size. The detection process of antibodies (against the antigen of virus) is analysed and an explicit expression for the correlation functions are provided. A measure of bunching is also introduced for some particular choice of parameters.

키워드

참고문헌

  1. Population dynamics of infectious diseases Anderson,R.M.
  2. The Mathematical theory of infectious diseases Bailey,N.T.J.
  3. Statistician v.34 The role of statistics in controlling and eradicating infectious diseases Bailey,N.T.J.
  4. Math Modelling v.7 Macro modelling and predcition of epidemic spread at community level Bailey,N.T.J.
  5. Stochastic Processes(2nd edition) Bartlett,M.S.
  6. a celebration of statistics Mathematical models for infectious disease statistics Dietz,K.;Schenzle,D.;A.C;Atkinson(ed.);S.K.Fienberg(ed.)
  7. Theory of Branching Process Harris, T.E.
  8. Mathematical modelling of the transmission dynamics of HIV infection and AIDS, a review, Isham,V
  9. J.R.Statistics Society v.B-11 Stochastic Processes and Population Growth Kendall,D.G
  10. accepted in Korean J.Comput. and Appl. Math. A Model of HIV population to seropositivity Sridharan,V.;Jayashree P.R.
  11. Stochastic point process and their applications Srinivasan,S.K.
  12. Point process models of cavity radiation and detection Srinivasan,S.K.