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Bashkirtseva I. A., Karpenko L. V., Ryashko L. B. Stochastic sensitivity of limit cycles for «predator – two preys» model. Izvestiya VUZ. Applied Nonlinear Dynamics, 2010, vol. 18, iss. 6, pp. 42-64. DOI: 10.18500/0869-6632-2010-18-6-42-64

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Stochastic sensitivity of limit cycles for «predator – two preys» model

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

We consider the population dynamics model «predator – two preys». A deterministic stability of limit cycles of this three-dimensional model in a period doubling bifurcations zone at the transition from an order to chaos is investigated. Stochastic sensitivity of cycles for additive and parametrical random disturbances is analyzed with the help of stochastic sensitivity function technique. Thin effects of stochastic influences are demonstrated. Growth of stochastic sensitivity of cycles for period doubling under transition from order to chaos is shown. For the index of sensitivity growth the universality low is established.

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