The Optimal Control of a Prey-predator Model With Impulsive Effects

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• 英文论文题名：The Optimal Control of a Prey-predator Model With Impulsive Effects
• 论文作者：Lichun Zhao ; Jingna Liu ; Xueying Wei ; Bing Liu
• 英文论文作者：Lichun Zhao ; Jingna Liu ; Xueying Wei ; Bing Liu ; School of Mathematics and Information Science ; Anshan Normal University ; College of Sciences ; Northeastern University ; Department of Mathematics ; Liaoning Normal University
• 年：2017
• 作者机构：School of Mathematics and Information Science,Anshan Normal University;College of Sciences,Northeastern University;Department of Mathematics,Liaoning Normal University;
• 英文论文关键词：Periodic solution ; Successor function ; Impulsive differential equations ; Optimal impulsive control principle
• 会议召开时间：2017-07-26
• 会议录名称：第36届中国控制会议论文集（B）
• 英文会议录名称：Proceedings of the 36th Chinese Control Conference（B）
• 语种：英文
• 分类号：O175;O232
• 学会代码：KZLL
• 会议名称：第36届中国控制会议
• 会议地点：中国辽宁大连
• 主办单位：中国自动化学会控制理论专业委员会
• 学会名称：中国自动化学会控制理论专业委员会
• 页数：6
• 文件大小：216k
• 原文格式：D
• 会议级别：全国

摘要

Using the geometry theory of differential equations, the conditions of the existence of periodic solution to a preypredator model with impulsive effects are given. The optimal control of the model is studied by optimal control principle of impulsive differential equations. The optimal harvesting time and corresponding optimal harvesting level which make people get the maximum profit are obtained. Finally, the simulations are exerted to prove the results.
Using the geometry theory of differential equations, the conditions of the existence of periodic solution to a preypredator model with impulsive effects are given. The optimal control of the model is studied by optimal control principle of impulsive differential equations. The optimal harvesting time and corresponding optimal harvesting level which make people get the maximum profit are obtained. Finally, the simulations are exerted to prove the results.

引文

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