Invariant distributions for multi-population models in random environments

DOI10.1016/0040-5809(79)90004-2zbMath0417.92019OpenAlexW2030351235WikidataQ43414233 ScholiaQ43414233MaRDI QIDQ755448

Paul J. Polansky

Publication date: 1979

Published in: Theoretical Population Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0040-5809(79)90004-2

zbMATH Keywords

stochastic Lyapunov functioninfinitesimal generatorrandom environmentsLotka-Volterra systemexistence of a solutioninvariant distributionssystems of stochastic differential equationsmulti-population modelstwo niche-migration model

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Population dynamics (general) (92D25) Stochastic stability in control theory (93E15) Ecology (92D40) Stochastic systems in control theory (general) (93E03) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

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Cites Work

• Random environments and stochastic calculus
• A population's stationary distribution and chance of extinction in a stochastic environment with remarks on the theory of species packing
• A reexamination of stability in randomly varying versus deterministic environments with comments on the stochastic theory of limiting similarity
• Stability and existence of diffusions with discontinuous or rapidly growing drift terms
• Unnamed Item