| 一类种群数量比的差分方程分析 |
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| 引用本文： | 李建全,杨亚莉,张小水.一类种群数量比的差分方程分析[J].空军工程大学学报,2007,8(2):75-78. |
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| 作者姓名： | 李建全 杨亚莉 张小水 |
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| 作者单位： | 空军工程大学理学院 陕西西安710051 |
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| 基金项目： | 国家自然科学基金资助项目(3067048610671209) |
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| 摘 要： | 建立野生蚊子与转基因蚊子相互作用时的数量比差分方程,借助差分方程稳定性理论,获得了两类蚊子各自灭绝或共存的充要条件,并得到了两类蚊子数量比的变化趋势。
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| 关 键 词： | 差分方程 不动点 稳定性 |
| 文章编号： | 1009-3516（2007）02-0075-04 |
| 收稿时间： | 2005-09-27 |
| 修稿时间： | 2005-09-27 |
Analysis of a Class of Difference Equation for Ratio between the Numbers of Population |
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| LI Jian-quan,YANG Ya-li,ZHANG Xiao shui.Analysis of a Class of Difference Equation for Ratio between the Numbers of Population[J].Journal of Air Force Engineering University(Natural Science Edition),2007,8(2):75-78. |
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| Authors: | LI Jian-quan YANG Ya-li ZHANG Xiao shui |
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| Abstract: | The difference equation for interaction between wild and transgenic mosquitoes is established.The necessary and sufficient conditions that those two types of mosquitoes extinct respectively or coexist with each other are obtained,and the changing tendency of ratio between their numbers is found by means of qualitative theory of difference equations. |
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| Keywords: | difference equation fixed point stability |
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