Azaele, S, Volkov, I, Banavar, JR et al. (1 more author) (2006) Linear one-step processes with artificial boundaries. Journal of Statistical Physics, 125 (2). 491 - 511. ISSN 0022-4715
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.
Metadata
| Authors/Creators: |
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| Keywords: | one-step stochastic processes; spectral resolution; ecological community; artificial boundaries; neutral theory of biodiversity; species abundance; birth |
| Dates: |
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| Institution: | The University of Leeds |
| Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) |
| Depositing User: | Symplectic Publications |
| Date Deposited: | 22 May 2014 09:14 |
| Last Modified: | 29 Jul 2015 14:26 |
| Published Version: | http://dx.doi.org/10.1007/s10955-006-9158-z |
| Status: | Published |
| Publisher: | Springer |
| Identification Number: | https://doi.org/10.1007/s10955-006-9158-z |
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