Some results on the Lotka--Volterra model and its small random perturbations

DOI10.1023/A:1025737516835zbMath1044.34015OpenAlexW117668350WikidataQ57712787 ScholiaQ57712787MaRDI QIDQ1415878

Robert Sh. Liptser, Rafail Z. Khasminskii, Fima C. Klebaner

Publication date: 9 December 2003

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1025737516835

zbMATH Keywords

extinctionlarge deviationsaveraging principlepredator-prey modelapplications of stochastic analysisfirst integral processperturbed Lotka-Volterra systempopulation densitiesrandomly perturbed differential equations

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Population dynamics (general) (92D25) Applications of stochastic analysis (to PDEs, etc.) (60H30) Ordinary differential equations and systems with randomness (34F05) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (3)

Long term behavior of solutions of the Lotka-Volterra system under small random perturbations. ⋮ Numerical solutions for optimal control of stochastic Kolmogorov systems with regime-switching and random jumps ⋮ Large deviations for the stochastic predator–prey model with nonlinear functional response

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