Numerical Analysis of Noise-Induced Oscillating Bistability in a Prey-Predator Plankton System / Ryashko Lev // . - 2013. - V. 1558, l. . - P. 2030-2033.

ISSN/EISSN:

0094-243X / нет данных

Type:

Proceedings Paper

Abstract:

Stochastic cycles of the Truscott-Brindley (TB) model for predator-prey plankton system are studied. For weak noise, random trajectories are concentrated in the small neighborhood of the unforced deterministic cycle. As the noise intensity increases, in the Canard-like cycles zone of the TB model, the stochastic trajectories begin to split into two parts. This new noise-induced phenomenon is investigated using numerical simulation of random trajectories and stochastic sensitivity functions (SSF) technique. It is shown that the intensity of noise generating this splitting bifurcation significantly depends on the stochastic sensitivity of cycles. Using the SSF technique, we find a critical value of the parameter corresponding to the supersensitive cycle. For this critical value, a comparative parametrical analysis of the stochastic cycle splitting is presented. An interplay of this noise-induced phenomenon with local instability of Canard cycles is discussed.

Author keywords:

Truscott-Brindley model; stochastic sensitivity; cycles; splitting bifurcation STOCHASTIC SENSITIVITY; 3D-CYCLES

DOI:

10.1063/1.4825934

Web of Science ID:

ISI:000331472800470

Соавторы в МНС:

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Другие поля

Поле	Значение
Editor	Simos, T and Psihoyios, G and Tsitouras, C
Booktitle	11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013, PTS 1 AND 2 (ICNAAM 2013)
Series	AIP Conference Proceedings
Note	11th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM), GREECE, SEP 21-27, 2013
Organization	European Soc Computat Methods Sci, Engn \& Technol; Santilli Fdn
Publisher	AMER INST PHYSICS
Address	2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA
Language	English
ISBN	978-0-7354-1185-2
Keywords-Plus	STOCHASTIC SENSITIVITY; 3D-CYCLES
Research-Areas	Mathematics; Physics
Web-of-Science-Categories	Mathematics, Applied; Physics, Applied
Number-of-Cited-References	17
Usage-Count-Since-2013	2
Doc-Delivery-Number	BA0IB