American Institute of Mathematical Sciences

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

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

Lakhdar Aggoun 1, and  Lakdere Benkherouf 2,

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.
Keywords: Optimal Filtering, EM algorithm., Reference Probability Measure, Capture-Recapture.
Mathematics Subject Classification: Primary: 60G35, 62M20, 93E11; Secondary: 65C30, 92D2.
Citation: Lakhdar Aggoun, Lakdere Benkherouf. A Markov modulated continuous-time capture-recapture population estimation model. Discrete and Continuous Dynamical Systems - B, 2005, 5 (4) : 1057-1075. doi: 10.3934/dcdsb.2005.5.1057
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