Stochastic Sensitivity Analysis and Control for Ecological Model with the Allee Effect / Ryashko L.,Bashkirtseva I. // MATHEMATICAL MODELLING OF NATURAL PHENOMENA. - 2015. - V. 10, l. 2. - P. 130-141.

ISSN/EISSN:

0973-5348 / 1760-6101

Type:

Article

Abstract:

In this paper, we discuss a problem of the analysis and prevention of catastrophic shifts in ecosystems with stochastic environment. For the solution of this problem in models of ecological dynamics, a new approach based on the stochastic sensitivity functions technique is suggested and applied to a stochastically forced predator-prey model with the Allee effect. For this population model, we analyze a phenomenon of noise-induced extinction using the method of confidence domains. By controlling those domains we provide a stable coexistence of both species and prevent the noise-induced extinction.

Author keywords:

stochastic sensitivity; ecological models; population dynamics; stabilization CATASTROPHIC SHIFTS; ECOSYSTEMS; SYSTEMS; NOISE; DYNAMICS

DOI:

10.1051/mmnp/201510209

Web of Science ID:

ISI:000355362000009

Соавторы в МНС:

Другие поля

Поле	Значение
Publisher	EDP SCIENCES S A
Address	17, AVE DU HOGGAR, PA COURTABOEUF, BP 112, F-91944 LES ULIS CEDEX A, FRANCE
Language	English
EISSN	1760-6101
Keywords-Plus	CATASTROPHIC SHIFTS; ECOSYSTEMS; SYSTEMS; NOISE; DYNAMICS
Research-Areas	Mathematical \& Computational Biology; Mathematics; Science \& Technology - Other Topics
Web-of-Science-Categories	Mathematical \& Computational Biology; Mathematics, Interdisciplinary Applications; Multidisciplinary Sciences
Author-Email	lev.ryashko@urfu.ru
Funding-Acknowledgement	Ministry of Education and Science of the Russian Federation {[}N 315]
Funding-Text	This work was supported by the Ministry of Education and Science of the Russian Federation under the project N 315.
Number-of-Cited-References	24
Usage-Count-Since-2013	2
Journal-ISO	Math. Model. Nat. Phenom.
Doc-Delivery-Number	CJ3CW