Stochastic differential equation model for linear growth birth and death processes with immigration and emigration

This paper discusses on linear birth and death with immigration and emigration (BIDE) process to stochastic differential equation (SDE) model. Forward Kolmogorov equation in continuous time Markov chain (CTMC) with a central-difference approximation was used to find Fokker-Planckequation correspondi...

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Bibliographic Details
Main Authors: Granita, Granita, Bahar, A.
Format: Conference or Workshop Item
Published: American Institute of Physics Inc. 2015
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Online Access:http://eprints.utm.my/id/eprint/59484/
http://dx.doi.org/10.1063/1.4914435
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Summary:This paper discusses on linear birth and death with immigration and emigration (BIDE) process to stochastic differential equation (SDE) model. Forward Kolmogorov equation in continuous time Markov chain (CTMC) with a central-difference approximation was used to find Fokker-Planckequation corresponding to a diffusion process having the stochastic differential equation of BIDE process. The exact solution, mean and variance function of BIDE process was found.