DETERMINISTIC AND STOCHASTIC ANALYSIS OF A NONLINEAR PREY-PREDATOR SYSTEM

DOI10.1142/S0218339003000816zbMath1054.92044OpenAlexW2091637835WikidataQ115523446 ScholiaQ115523446MaRDI QIDQ4736668

Malay Bandyopadhyay, Charu Gopal Chakrabarti

Publication date: 6 August 2004

Published in: Journal of Biological Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218339003000816

zbMATH Keywords

stabilitystochastic stabilitywhite noiseHopf-bifurcationnon-equilibrium fluctuationPrey-predator system

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Dynamical systems in biology (37N25) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Ecology (92D40)

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Cites Work

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• Noise-induced transitions. Theory and applications in physics, chemistry, and biology
• On the linearization of nonlinear Langevin-type stochastic differential equations
• Non-equilibrium fluctuation in Volterra-Lotka systems
• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• Global Analysis of a System of Predator–Prey Equations

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