Stationary probability distributions of some lotka-volterra types of stochastic predation systems

DOI10.1080/07362999508809412zbMath0849.92019OpenAlexW2013436441WikidataQ115550941 ScholiaQ115550941MaRDI QIDQ4848796

Sally E. A. Stewart, David W. K. Yeung

Publication date: 20 September 1995

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362999508809412

zbMATH Keywords

exact solutionsFokker-Planck equationsstationary probability distributionsstochastic shocksgeneralised stochastic Lotka-Volterra food chaingeneralized stochastic Lotka-Volterra predator-prey system

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Ecology (92D40)

Related Items (2)

Two-level method for a time-independent Fokker–Planck control problem ⋮ An Explicit Density Function for a Generalized Stochastic Food Chain of the Lotka–Volterra–Yeung Type

Cites Work

• Optimal management of replenishable resources in a predator-prey system with randomly fluctuating population
• Two species competition in a periodic environment
• Random differential inequalities
• The qualitative analysis of \(n\)-species Lotka-Volterra periodic competition systems
• Random differential equations in science and engineering
• Stability and limiting distributions of one and two species stochastic population models
• Global asymptotic stability in a periodic Lotka-Volterra system
• Exact solution for steady–state probability distribution of a simple stochastic lotka–volterra food chain

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