Noise-induced extinction in Bazykin-Berezovskaya population model / Bashkirtseva Irina,Ryashko Lev // EUROPEAN PHYSICAL JOURNAL B. - 2016. - V. 89, l. 7.

ISSN/EISSN:

1434-6028 / 1434-6036

Type:

Article

Abstract:

A nonlinear Bazykin-Berezovskaya prey-predator model under the influence of parametric stochastic forcing is considered. Due to Allee effect, this conceptual population model even in the deterministic case demonstrates both local and global bifurcations with the change of predator mortality. It is shown that random noise can transform system dynamics from the regime of coexistence, in equilibrium or periodic modes, to the extinction of both species. Geometry of attractors and separatrices, dividing basins of attraction, plays an important role in understanding the probabilistic mechanisms of these stochastic phenomena. Parametric analysis of noise-induced extinction is carried out on the base of the direct numerical simulation and new analytical stochastic sensitivity functions technique taking into account the arrangement of attractors and separatrices.

Author keywords:

STOCHASTIC RESONANCE; SYSTEMS; ECOSYSTEMS

DOI:

10.1140/epjb/e2016-70345-6

Web of Science ID:

ISI:000379708800002

Соавторы в МНС:

Другие поля

Поле	Значение
Month	JUL 11
Publisher	SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013 USA
Language	English
Article-Number	165
EISSN	1434-6036
Keywords-Plus	STOCHASTIC RESONANCE; SYSTEMS; ECOSYSTEMS
Research-Areas	Physics
Web-of-Science-Categories	Physics, Condensed Matter
Author-Email	lev.ryashko@urfu.ru
Funding-Acknowledgement	Russian Science Foundation {[}16-11-10098]
Funding-Text	The work was supported by Russian Science Foundation (No. 16-11-10098).
Number-of-Cited-References	36
Usage-Count-Since-2013	4
Journal-ISO	Eur. Phys. J. B
Doc-Delivery-Number	DR2BA