Stochastic Bifurcations and Noise-Induced Chaos in a Dynamic Prey-Predator Plankton System / Bashkirtseva Irina,Ryashko Lev // INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. - 2014. - V. 24, l. 9.

ISSN/EISSN:

0218-1274 / 1793-6551

Type:

Article

Abstract:

We consider the stochastic Truscott-Brindley dynamical model of the interacting populations of prey and predator. We study a new phenomenon of the stochastic cycle splitting. In a zone of Canard cycles, using the stochastic sensitivity function technique, we find a critical value of the parameter corresponding to the supersensitive cycle. In the neighborhood of this critical value, a comparative parametrical analysis of the phenomenon of the stochastic cycle splitting is performed. It is shown that the bifurcation of the stochastic cycle splitting is accompanied by the noise-induced chaotization.

Author keywords:

Stochastic bifurcations; chaos; Truscott-Brindley prey-predator model; Canard cycles SENSITIVITY; ATTRACTORS

DOI:

10.1142/S0218127414501090

Web of Science ID:

ISI:000344456300008

Соавторы в МНС:

Другие поля

Поле	Значение
Month	SEP
Publisher	WORLD SCIENTIFIC PUBL CO PTE LTD
Address	5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE
Language	English
Article-Number	1450109
EISSN	1793-6551
Keywords-Plus	SENSITIVITY; ATTRACTORS
Research-Areas	Mathematics; Science \& Technology - Other Topics
Web-of-Science-Categories	Mathematics, Interdisciplinary Applications; Multidisciplinary Sciences
Author-Email	irina.bashkirtseva@urfu.ru lev.ryashko@urfu.ru
Funding-Acknowledgement	RFBR {[}14-01-00181]
Funding-Text	This work was partially supported by RFBR (No. 14-01-00181).
Number-of-Cited-References	17
Usage-Count-Last-180-days	2
Usage-Count-Since-2013	15
Journal-ISO	Int. J. Bifurcation Chaos
Doc-Delivery-Number	AS7SZ