Dynamics of a prey-predator system under Poisson white noise excitation

DOI10.1007/s10409-014-0069-yzbMath1346.92059OpenAlexW2084168448WikidataQ115605558 ScholiaQ115605558MaRDI QIDQ318455

Shan-Shan Pan, Wei-Qiu Zhu

Publication date: 5 October 2016

Published in: Acta Mechanica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10409-014-0069-y

zbMATH Keywords

perturbation methodstochastic averagingapproximate stationary solutionPoisson white noiseprey-predator ecosystem

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Ordinary differential equations and systems with randomness (34F05)

Related Items (1)

Exact stationary solutions of the Kolmogorov-Feller equation in a bounded domain

Cites Work

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• An averaging principle for stochastic dynamical systems with Lévy noise
• Time delay in prey-predator models
• On the influence of noise on the critical and oscillatory behavior of a predator-prey model: coherent stochastic resonance at the proper frequency of the system
• Stochastic Dynamics of Nonlinear Systems Driven by Non-normal Delta-Correlated Processes

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