| 一个具有突变体的种群模型的变结构控制 |
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| 引用本文： | 刘娅,赵立纯,黄玉洁,黄林林.一个具有突变体的种群模型的变结构控制[J].生物数学学报,2011(4):727-733. |
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| 作者姓名： | 刘娅 赵立纯 黄玉洁 黄林林 |
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| 作者单位： | 辽宁师范大学数学学院;鞍山师范学院数学系; |
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| 基金项目： | 国家自然科学基金资助项目(60974004); 辽宁省自然科学基金资助项目(20092179) |
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| 摘 要： | 基于一个具有突变体的种群模型,提出了相应的控制模型.根据变结构控制原理,针对控制模型,分别设计了变结构控制器和近似变结构控制器,使突变体灭绝.最后通过数值仿真,验证了所得结论的正确性.
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| 关 键 词： | 突变体 变结构控制 切换函数 趋近率 |
Variable Structure Control of a Population Model with Mutant |
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| LIU Ya ZHAO Li-chun HUANG Yu-jie HUANG Lin-lin.Variable Structure Control of a Population Model with Mutant[J].Journal of Biomathematics,2011(4):727-733. |
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| Authors: | LIU Ya ZHAO Li-chun HUANG Yu-jie HUANG Lin-lin |
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| Institution: | LIU Ya~1 ZHAO Li-chun~2 HUANG Yu-jie~2 HUANG Lin-lin~1 (1 College of Mathematics,Liaoning Normal University,Dalian Liaoning 116029 China) (2 Department of Mathematics,Anshan Normal University,Anshan Liaoning 114007 China) |
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| Abstract: | Based on a population model with mutant,the corresponding control model is proposed.Using the principles of variable structure control,a variable structure control and an approximate variable structure control of the model are designed to eliminate mutant.Finally, numerical simulations are carried out to prove the results. |
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| Keywords: | Mutant Variable structure control Switch function Approach law |
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