ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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Bashkirtseva I. A., Karpenko L. V., Ryashko L. B. Analysis of attractors for stochastically forced «predator–prey» model. Izvestiya VUZ. Applied Nonlinear Dynamics, 2009, vol. 17, iss. 2, pp. 37-53. DOI: 10.18500/0869-6632-2009-17-2-37-53

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
517.925
DOI: 
10.18500/0869-6632-2009-17-2-37-53

Analysis of attractors for stochastically forced «predator–prey» model

Autors: 
Bashkirtseva Irina Adolfovna, Ural Federal University named after the first President of Russia B.N.Yeltsin
Karpenko Larisa Vladimirovna, Ural Federal University named after the first President of Russia B.N.Yeltsin
Ryashko Lev Borisovich, Ural Federal University named after the first President of Russia B.N.Yeltsin
Abstract: 

We consider the population dynamics model «predator–prey». Equilibria and limit cycles of system are studied from both deterministic and stochastic points of view. Probabilistic properties of stochastic trajectories are investigated on the base of stochastic sensitivity function technique. The possibilities of stochastic sensitivity function to analyse details and thin features of stochastic attractors are demonstrated.

Key words: 
Population dynamics
equilibria
limit cycles
stochastic sensitivity
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Received: 
25.01.2008
Accepted: 
07.03.2009
Published: 
30.06.2009
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