Stochastically perturbed Hopf bifurcation in an extended Volterra-Lotka system

DOI10.1016/0893-9659(89)90013-XzbMath0713.92022MaRDI QIDQ750364

G. P. Samanta, Charu Gopal Chakrabarti

Publication date: 1989

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

noiseHopf bifurcationcoexistence equilibriumprey-predator systemextended Volterra-Lotka systemMarkov diffusion approximationprey natural growthsmall stochastic parametric perturbationsvector stochastic differential equation

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Population dynamics (general) (92D25) Ecology (92D40)

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Cites Work

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• Application of complex stochastic averaging to nonlinear random vibration problems
• Stochastically perturbed Hopf bifurcation
• On the theory of optimal control. Sufficient coordinates