# American Institute of Mathematical Sciences

November  2005, 5(4): 1057-1075. doi: 10.3934/dcdsb.2005.5.1057

## A Markov modulated continuous-time capture-recapture population estimation model

 1 Department of Mathematics and Statistics, Sultan Qaboos University, P.O.Box 36, Al-Khod 123, Sultanate of Oman 2 Department of Statistics and Operations Research, College of Science, Kuwait University, P.O.Box 5969, Safat 13060, Kuwait

Received  February 2005 Revised  May 2005 Published  August 2005

In this paper, we consider a population of animals that moves between different areas according to some Markovian rule. A continuous time capture-recapture sampling technique is used to monitor the distribution of the population between the different areas. Using measure change techniques finite-dimensional filters for the number of animals in each region are derived. Using the EM algorithm the parameters of the model are updated.
Citation: Lakhdar Aggoun, Lakdere Benkherouf. A Markov modulated continuous-time capture-recapture population estimation model. Discrete & Continuous Dynamical Systems - B, 2005, 5 (4) : 1057-1075. doi: 10.3934/dcdsb.2005.5.1057
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