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: email@example.com
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
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