Sensitivity analysis of stochastic attractors and noise-induced transitions for population model with Allee effect / Bashkirtseva I.,Ryashko L. // CHAOS. - 2011. - V. 21, l. 4.

ISSN/EISSN:

1054-1500 / 1089-7682

Type:

Article

Abstract:

We study a stochastically forced predator-prey model with Allee effect. In the deterministic case, this model exhibits non-trivial stable equilibrium or limit cycle corresponding to the coexistence of both species. Computational methods based on the stochastic sensitivity functions technique are suggested for the analysis of the dispersion of random states in stochastic attractors. Our method allows to construct confidence domains and estimate the threshold value of the intensity for noise generating a transition from the coexistence to the extinction. (C) 2011 American Institute of Physics. {[}doi:10.1063/1.3647316]

Author keywords:

PREDATOR-PREY SYSTEM; EXCITABLE SYSTEMS; RESONANCE; CHAOS; BIFURCATIONS; 3D-CYCLES; TUTORIAL

DOI:

10.1063/1.3647316

Web of Science ID:

ISI:000298639100059

Соавторы в МНС:

Другие поля

Поле	Значение
Month	DEC
Publisher	AMER INST PHYSICS
Address	1305 WALT WHITMAN RD, STE 300, MELVILLE, NY 11747-4501 USA
Language	English
Article-Number	047514
EISSN	1089-7682
Keywords-Plus	PREDATOR-PREY SYSTEM; EXCITABLE SYSTEMS; RESONANCE; CHAOS; BIFURCATIONS; 3D-CYCLES; TUTORIAL
Research-Areas	Mathematics; Physics
Web-of-Science-Categories	Mathematics, Applied; Physics, Mathematical
Funding-Acknowledgement	{[}RFBR10-01-96022\_ural]
Funding-Text	This work was partially supported by Grant No. RFBR10-01-96022\_ural.
Number-of-Cited-References	55
Usage-Count-Last-180-days	1
Usage-Count-Since-2013	12
Journal-ISO	Chaos
Doc-Delivery-Number	869ZO