| 一类连续控制SI模型的动力学分析 |
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| 引用本文： | 刘开源.一类连续控制SI模型的动力学分析[J].鞍山师范学院学报,2008,10(6):1-4. |
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| 作者姓名： | 刘开源 |
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| 作者单位： | 鞍山师范学院,辽宁,鞍山,114007 |
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| 摘 要： | 建立并研究了一类连续释放害虫策略的SI模型，讨论了SI模型边界平衡点的存在性和局部稳定性，证明了系统在一定条件下存在唯一的全局渐进稳定的正平衡点．最后通过数值模拟进行了验证．
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| 关 键 词： | 连续控制 动力学 正平衡点 稳定性 |
Dynamic Behaviors of SI Model with Continous Pest Control |
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| LIU Kai-yuan.Dynamic Behaviors of SI Model with Continous Pest Control[J].Journal of Anshan Teachers College,2008,10(6):1-4. |
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| Authors: | LIU Kai-yuan |
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| Institution: | LIU Kai-yuan ( Anshan Normal University ,Anshan Liaoning 114007, China) |
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| Abstract: | In this paper,a SI mathematical model concerning continous pest control strategies is proposed and investigated.It is discussed that the boundary equilibrium is existential and locally stable.It is proved that the system admits a globally asymptotically stable positive equilibrium under appreliate conditions.Furthur more,the existence of a positive equilibrium is also studied by mesns of numeril simulation. |
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| Keywords: | Continuous Control Dynamics Positive Equilibrium Stability |
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