Stability in distribution and optimal control in an impulsive toxin input bioeconomic system with stochastic fluctuations and time delays

被引：1

作者：

An, Chengshuai ^{[1
]}

Liu, Chao ^{[2
]}

Bi, Shuai ^{[2
]}

机构：

[1] Northeastern Univ Qinhuangdao, Sch Math & Stat, Qinhuangdao 066004, Hebei, Peoples R China

[2] Northeastern Univ, Inst Syst Sci, Qinhuangdao 110004, Hebei, Peoples R China

来源：

PROCEEDINGS OF THE 2019 31ST CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2019) | 2019年

关键词：

impulsive input; Levy jumps; stability in distribution; optimal control; QUALITATIVE APPROACH; MODEL; POPULATIONS; TOXICANTS; BEHAVIOR;

D O I：

10.1109/ccdc.2019.8832492

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, authors established a hybrid stochastic prey predator bioeconomic system with impulses and stochastic fluctuations. The dynamic effects of commercial harvesting and impulsive toxin input are taken into account. By constructing appropriate functional, the asymptotical stability in distribution in the hybrid stochastic bioeconomic system is investigated. By ergodic and optimal control theorem of stochastic impulsive system, optimal price control strategy and maximum of expectation of sustainable yield are discussed. Numerical simulations are supported to illustrate theoretical findings in this paper.

引用

页码：3638 / 3642

页数：5

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