Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/102396
Title: Stochastic sensitivity analysis and control for ecological model with the allee effect
Authors: Ryashko, L.
Bashkirtseva, I.
Issue Date: 2015
Publisher: EDP Sciences
Citation: Ryashko L. Stochastic sensitivity analysis and control for ecological model with the allee effect / L. Ryashko, I. Bashkirtseva. — DOI 10.1051/mmnp/201510209 // Mathematical Modelling of Natural Phenomena. — 2015. — Vol. 10. — Iss. 2. — P. 129-140.
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. © 2015 EDP Sciences.
Keywords: ECOLOGICAL MODELS
POPULATION DYNAMICS
STABILIZATION
STOCHASTIC SENSITIVITY
ECOLOGY
POPULATION DYNAMICS
SENSITIVITY ANALYSIS
STABILIZATION
STOCHASTIC SYSTEMS
ECOLOGICAL DYNAMICS
ECOLOGICAL MODELING
ECOLOGICAL MODELS
PREDATOR-PREY MODELING
STOCHASTIC ENVIRONMENT
STOCHASTIC SENSITIVITY
STOCHASTIC SENSITIVITY ANALYSIS
STOCHASTIC SENSITIVITY FUNCTIONS
STOCHASTIC MODELS
URI: http://hdl.handle.net/10995/102396
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 84926487987
PURE ID: 349764
5fb0372a-6375-4ef5-b785-1121969dc95b
ISSN: 9735348
DOI: 10.1051/mmnp/201510209
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

Files in This Item:
File Description SizeFormat 
2-s2.0-84926487987.pdf2,07 MBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.