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Exact densities for a class of stochastic circular food chain
Author(s)
Date Issued
2010
Journal
ISSN
1314-7595
1312-8868
Citation
International Journal of Algebra, 2010, vol. 4(12), pp. 561-568.
Type
Peer Reviewed Journal Article
Abstract
Variants of the Lotka-Volterra equations have been frequently used to describe population dynamics with predator-prey relations. However, real ecosystems are often probabilistic systems rather than deterministic paradigms. In a stochastic framework, the issue of persistence could be best studied through the stationary probability density of the system. This technical note presents a class of circular stochastic food chains with general functional structures of predation rates and closed-form solution for its stationary probability density.
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