Math. Model. Nat. Phenom.
Volume 10, Number 2, 2015Ecology
|Page(s)||130 - 140|
|Published online||02 April 2015|
Stochastic Sensitivity Analysis and Control for Ecological Model with the Allee Effect
Institute of Mathematics and Computer Sciences, Ural
Federal University, 620083
Corresponding author. E-mail: firstname.lastname@example.org
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.
Mathematics Subject Classification: 60H10 / 92D40 / 93E15
Key words: stochastic sensitivity / ecological models / population dynamics / stabilization
© EDP Sciences, 2015
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.