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

Autor: Ekaterina Dmitrievna Ekaterinchuk, Lev Borisovich Ryashko
Jazyk: ruština
Rok vydání: 2015
Předmět:
Zdroj: Компьютерные исследования и моделирование, Vol 7, Iss 1, Pp 145-157 (2015)
Druh dokumentu: article
ISSN: 2076-7633
2077-6853
DOI: 10.20537/2076-7633-2015-7-1-145-157
Popis: 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.
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