Analysis of stochastic attractors for time-delayed quadratic discrete model of population dynamics

Ekaterinchuk E.D., Ryashko L.B.
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We consider a time-delayed quadratic discrete model of population dynamics under the influence of random perturbations. Analysis of stochastic attractors of the model is performed using the methods of direct numerical simulation and the stochastic sensitivity function technique. A deformation of the probability distribution of random states around the stable equilibria and cycles is studied parametrically. The phenomenon of noise-induced transitions in the zone of discrete cycles is demonstrated.

Keywords: a time-delayed quadratic discrete model of population dynamics, stochastic sensitivity function
Citation in English: Ekaterinchuk E.D., Ryashko L.B. Analysis of stochastic attractors for time-delayed quadratic discrete model of population dynamics // Computer Research and Modeling, 2015, vol. 7, no. 1, pp. 145-157
Citation in English: Ekaterinchuk E.D., Ryashko L.B. Analysis of stochastic attractors for time-delayed quadratic discrete model of population dynamics // Computer Research and Modeling, 2015, vol. 7, no. 1, pp. 145-157
DOI: 10.20537/2076-7633-2015-7-1-145-157
URL: http://crm-en.ics.org.ru/journal/article/2236/
Creative Commons License This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.
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