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

Advances in Difference Equations

Lidan Liu¹  Xinzhu Meng¹ 

[1] College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, P.R. China

关键词: stochastic delay model;    extinction;    persistence in the mean;    optimal harvesting policy;   

DOI  :  10.1186/s13662-017-1077-6

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY