Details

State Space Model on Malaria Infection with Misdiagnosis

K M Sharma

B.S.A. College, Mathura (U.P.) India

Neetu Srivastava

B.S.A. College, Mathura (U.P.) India

58-64

Vol: 6, Issue: 3, 2016

Receiving Date: 2016-05-09 Acceptance Date:

2016-07-09

Publication Date:

2016-07-22

Download PDF

Abstract

In this paper mathematical modeling of Malaria infection has been done on the basic of possibility of relapses. The misdiagnosis in terms of false negatives is taken into account. The analysis consists of the derivation of state probabilities and the estimation processor. The model provides an understanding of the process of Malaria infection of human host. The out comes may be useful for the medical doctors for the prevention of Malaria disease.

Keywords: Malaria infection; Human host; Markov chain; Misdiagnosis; Transition probability

References

  1. Ahlgren D.J. and Stein A.C. (1990): Dynamic models of the AIDS epidemic, J. Simulation, Vol. 54, No.1, pp 7-20.
  2. Anderson R.M. (1981): Population ecology of infectious diseases agents, Theo. Ecol., 2nd Edn., Oxford, pp 318-355
  3. Anderson R.M. (1982): Population dynamics of infectious diseases theory and applications, Chapman and Hall London
  4. Anderson R.M. (1988): The epidemiology of Malaria infection: variable incubation plus infectious periods and heterogeneity in sexual behavior, J. Roy. Stat. Soci., Vol. 151, pp. 66-93.
  5. Bailey N.T.J.(1980a): spatial models in the epidemiology of infectious diseases. Lecture notes in biomathematics, vol. 38, pp. 233-261. new york: springer
  6. Herbert, J. and Isham, V. (2000): Stochastic host-parasite population models. JMB 40, 343–371.
  7. Macdonald G. (1950): The analysis of infection rates in diseases in which super infection occurs, Trop. Dis. Bull., Vol. 47, pp. 907–915.
  8. Molineaux and Gramiccia, (1974): A malaria model tested in the African Savannah Bull, World Health organization, Vol. 50, pp. 347 –357
  9. Nasell I. (1985): Hybrid models of tropical infections, Lect. Notes Biomat, Vol .59, PP. 1-206
  10. Nasell I. (1986): Hybrid models of tropical infections, Lect. Note. Biomat., Vol .59, pp. 185-206
  11. Nasell I. (2000): On the quasi-stationary distribution of the Ross Malaria model, Math. Boise, Vol. 107, pp. 187-208.
  12. Nedelman (1988): The prevalence on malaria in Garki, Nigeria, Double sampling with a fallible expert. Biometrics, vol. 44, pp. 635-655
  13. Ross R. (1910): The prevention of malaria. London: murray.
  14. Ross R. (1911): The prevention of malaria (2nd edn). (with addendum on the theory of happenings.) London: murray
  15. Hethcote, H. W. (2000) The mathematics of infectious diseases. SIAM Review 42, 599–653.
Back

Disclaimer: All papers published in IJRST will be indexed on Google Search Engine as per their policy.

We are one of the best in the field of watches and we take care of the needs of our customers and produce replica watches of very good quality as per their demands.