Recurrence properties of Lotka-Volterra models with random fluctuations

DOI10.2969/jmsj/03320335zbMath0449.92016OpenAlexW1980930111MaRDI QIDQ1147651

Yukio Ogura, Harry Kesten

Publication date: 1981

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/03320335

zbMATH Keywords

predator-preystationary measurecompeting speciesrandom fluctuationsIto equationsrecurrence of diffusions

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Population dynamics (general) (92D25) Diffusion processes (60J60) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (7)

Asymptotic analysis and extinction in a stochastic Lotka-Volterra model ⋮ Stability for multispecies population models in random environments ⋮ Exit probabilities for stochastic population models: Initial tendencies for extinction, explosion, or permanence ⋮ Stationary distributions of persistent ecological systems ⋮ The competitive exclusion principle in stochastic environments ⋮ Harvesting and seeding of stochastic populations: analysis and numerical approximation ⋮ Ergodicity of randomly perturbed Lorenz model

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