Optimal control strategy for an impulsive stochastic competition system with time delays and jumps

被引：35

作者：

Liu, Lidan ^{[1
,2
]}

Meng, Xinzhu ^{[1
,2
]}

Zhang, Tonghua ^{[3
]}

机构：

[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China

[2] Shandong Univ Sci & Technol, Shandong Prov & Minist Sci & Technol, State Key Lab Min Disaster Prevent & Control, Qingdao 266590, Peoples R China

[3] Swinburne Univ Technol, Dept Math, Hawthorn, Vic 3122, Australia

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2017年 / 477卷

基金：

中国国家自然科学基金;

关键词：

Stochastic delayed competition model; Impulsive toxicant input; Persistence in the mean; Levy jumps; Optimal harvesting strategy; LOTKA-VOLTERRA SYSTEMS; POLLUTED ENVIRONMENT; ASYMPTOTIC-BEHAVIOR; TOXICANT INPUT; LEVY NOISE; DYNAMICS; MODEL; POPULATION; EXTINCTION; DIFFUSION;

D O I：

10.1016/j.physa.2017.02.046

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Driven by both white and jump noises, a stochastic delayed model with two competitive species in a polluted environment is proposed and investigated. By using the comparison theorem of stochastic differential equations and limit superior theory, sufficient conditions for persistence in mean and extinction of two species are established. In addition, we obtain that the system is asymptotically stable in distribution by using ergodic method. Furthermore, the optimal harvesting effort and the maximum of expectation of sustainable yield (ESY) are derived from Hessian matrix method and optimal harvesting theory of differential equations. Finally, some numerical simulations are provided to illustrate the theoretical results. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：99 / 113

页数：15

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