| 杜百知,许友军,刘若男.具脉冲输入毒素的时滞阶段结构的捕食与被捕食模型的动力学分析[J].南华大学学报(自然科学版),2016,30(4):72~76.[DU Bai-zhi,XU You-jun,LIU Ruo-nan.Dynamic Analysis of the Structure of the Time Delay Stage Structure with the Pulse Input Toxin of the Prey Predator Model[J].Journal of University of South China(Science and Technology),2016,30(4):72~76.] |
| 具脉冲输入毒素的时滞阶段结构的捕食与被捕食模型的动力学分析 |
| Dynamic Analysis of the Structure of the Time Delay Stage Structure with the Pulse Input Toxin of the Prey Predator Model |
| 投稿时间：2016-06-22 |
| DOI： |
| 中文关键词: 脉冲 时滞 全局吸引 永久生存 |
| 英文关键词:pulse time delay globally attractive permanently survive |
| 基金项目:国家自然科学基金项目(11126170);湖南省自然科学基金项目(2015JJ2127;2015JJ6095);湖南省研究生教改项目(JG2014B048) |
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| 中文摘要: |
| 研究了在具有脉冲输入毒素污染的生态环境中,讨论了具有阶段性结构的捕食食饵模型,充分利用定理来证明了捕食者灭绝的时滞周期解是全局吸引的,以及系统是永久生存的. |
| 英文摘要: |
| This paper studied the model of the prey predator with structure of the time delay stage in the ecological environment with the pulse input toxin,and proved that the delay periodic solution of predator extinction is globally attractive and the system permanently survives by using the theorem. |
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