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Stationary probability distributions of some lotka-volterra types of stochastic predation systems
Date Issued
1995
ISSN
0736-2994
1532-9356
Citation
Stochastic Analysis and Applications, 1995, vol. 13(4), pp. 503-516.
Type
Peer Reviewed Journal Article
Abstract
This paper provides exact solutions to the stationary probability distributions in some stochastic predation systems. These are derived by solving the Fokker-Planck equations for:
(i) a generalized stochastic Lotka-Volterra predator-prey system, and
(ii) a generalised stochastic Lotka-Volterra food chain.
In all these systems the growth dynamics of all levels of species are subject to stochastic shocks. Since stationary probability distributions provide the most comprehensive characterization of a stochastic system in a steady state, system stability can be analysed accordingly
(i) a generalized stochastic Lotka-Volterra predator-prey system, and
(ii) a generalised stochastic Lotka-Volterra food chain.
In all these systems the growth dynamics of all levels of species are subject to stochastic shocks. Since stationary probability distributions provide the most comprehensive characterization of a stochastic system in a steady state, system stability can be analysed accordingly
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