Geodesic
Stochastic Sensitivity Analysis and Control for Ecological Model with the Allee Effect
L. Ryashko1 ; I. Bashkirtseva1
1 Institute of Mathematics and Computer Sciences, Ural Federal University, 620083 Ekaterinburg, Russia
Mathematical modelling of natural phenomena, Tome 10 (2015) no. 2, pp. 130-140.

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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.
DOI : 10.1051/mmnp/201510209

L. Ryashko 1 ; I. Bashkirtseva 1

1 Institute of Mathematics and Computer Sciences, Ural Federal University, 620083 Ekaterinburg, Russia 
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L. Ryashko; I. Bashkirtseva. Stochastic Sensitivity Analysis and Control for Ecological Model with the Allee Effect. Mathematical modelling of natural phenomena, Tome 10 (2015) no. 2, pp. 130-140. doi : 10.1051/mmnp/201510209. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/201510209/

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