Optimal harvesting control and dynamics of two-species stochastic model with delays

被引：0
作者：
Lidan Liu
Xinzhu Meng
机构：
[1] Shandong University of Science and Technology,College of Mathematics and Systems Science
[2] Shandong University of Science and Technology,State Key Laboratory of Mining Disaster Prevention and Control Co
来源：
Advances in Difference Equations | / 2017卷
关键词：
stochastic delay model; extinction; persistence in the mean; optimal harvesting policy;
D O I：
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摘要：
Taking the stochastic effects on growth rate and harvesting effort into account, we propose a stochastic delay model of species in two habitats. The main aim of this paper is to investigate optimal harvesting and dynamics of the stochastic delay model. By using the stochastic analysis theory and differential inequality technology, we firstly obtain sufficient conditions for persistence in the mean and extinction. Furthermore, the optimal harvesting effort and the maximum of expectation of sustainable yield (ESY) are gained by using Hessian matrix, the ergodic method, and optimal harvesting theory of differential equations. To illustrate the performance of the theoretical results, we present a series of numerical simulations of these cases with respect to different noise disturbance coefficients.
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