Method of confidence domains in the analysis of noise-induced extinction for tritrophic population system / Bashkirtseva Irina,Ryashko Lev,Ryazanova Tatyana // EUROPEAN PHYSICAL JOURNAL B. - 2017. - V. 90, l. 9.

ISSN/EISSN:

1434-6028 / 1434-6036

Type:

Article

Abstract:

A problem of the analysis of the noise-induced extinction in multidimensional population systems is considered. For the investigation of conditions of the extinction caused by random disturbances, a new approach based on the stochastic sensitivity function technique and confidence domains is suggested, and applied to tritrophic population model of interacting prey, predator and top predator. This approach allows us to analyze constructively the probabilistic mechanisms of the transition to the noise-induced extinction from both equilibrium and oscillatory regimes of coexistence. In this analysis, a method of principal directions for the reducing of the dimension of confidence domains is suggested. In the dispersion of random states, the principal subspace is defined by the ratio of eigenvalues of the stochastic sensitivity matrix. A detailed analysis of two scenarios of the noise-induced extinction in dependence on parameters of considered tritrophic system is carried out.

Author keywords:

STOCHASTIC RESONANCE; CATASTROPHIC SHIFTS; ECOSYSTEMS; BIODIVERSITY; SENSITIVITY; STABILITY; DYNAMICS; MODELS; CHAOS; RISK

DOI:

10.1140/epjb/e2017-80040-9

Web of Science ID:

ISI:000411061000001

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	SEP
Publisher	SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013 USA
Language	English
Article-Number	161
EISSN	1434-6036
Keywords-Plus	STOCHASTIC RESONANCE; CATASTROPHIC SHIFTS; ECOSYSTEMS; BIODIVERSITY; SENSITIVITY; STABILITY; DYNAMICS; MODELS; CHAOS; RISK
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	42
Usage-Count-Last-180-days	1
Usage-Count-Since-2013	1
Journal-ISO	Eur. Phys. J. B
Doc-Delivery-Number	FH3PF