Abstract
An artificial absorbing boundary is introduced in a linear birth and death stochastic process in order to understand the long time behavior of an ecological community. The solution is obtained by means of a spectral resolution of the probability distribution. A more general linear process with a coefficient of arbitrary strength near the boundary both with absorbing and with reflecting boundary conditions is also studied.
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Azaele, S., Volkov, I., Banavar, J.R. et al. Linear One-Step Processes with Artificial Boundaries. J Stat Phys 125, 491–511 (2006). https://doi.org/10.1007/s10955-006-9158-z
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DOI: https://doi.org/10.1007/s10955-006-9158-z