Stochastic sensitivity analysis of the attractors for the randomly forced Ricker model with delay

2014 ◽  
Vol 378 (48) ◽  
pp. 3600-3606 ◽  
Author(s):  
Irina Bashkirtseva ◽  
Lev Ryashko
Keyword(s):  
Sensitivity Analysis ◽  
Stochastic Sensitivity ◽  
Ricker Model ◽  
Stochastic Sensitivity Analysis

scholarly journals Preventing Noise-Induced Extinction in Discrete Population Models

2017 ◽  
Vol 2017 ◽  
pp. 1-10 ◽  
Author(s):  
Irina Bashkirtseva
Keyword(s):  
Sensitivity Analysis ◽  
Population Models ◽  
Dimensional System ◽  
Mathematical Technique ◽  
One Dimensional ◽  
Stochastic Sensitivity ◽  
Ricker Model ◽  
Discrete Population ◽  
Discrete Population Models ◽  
Stochastic Sensitivity Analysis

A problem of the analysis and prevention of noise-induced extinction in nonlinear population models is considered. For the solution of this problem, we suggest a general approach based on the stochastic sensitivity analysis. To prevent the noise-induced extinction, we construct feedback regulators which provide a low stochastic sensitivity and keep the system close to the safe equilibrium regime. For the demonstration of this approach, we apply our mathematical technique to the conceptual but quite representative Ricker-type models. A variant of the Ricker model with delay is studied along with the classic widely used one-dimensional system.

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