| 具有投放率和食饵扩散的非自治捕食模型的持久生存性 |
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| 引用本文： | 梁桂珍,司桂荣. 具有投放率和食饵扩散的非自治捕食模型的持久生存性[J]. 新乡学院学报(自然科学版), 2012, 0(2): 97-99 |
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| 作者姓名： | 梁桂珍 司桂荣 |
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| 作者单位： | [1]新乡学院数学与信息科学系,河南新乡453003 [2]内蒙古兴安盟广播电视大学,内蒙古乌兰浩特137400 |
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| 基金项目： | 河南省科技厅科技攻关项目（112102310376）;河南省科技厅软科学项目（102400440050）;河南省教育厅自然科学研究项目（2010C110003）;新乡学院科技创新基金项目（201120） |
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| 摘 要： | 研究了一类具有投放率和食饵扩散的非自治捕食系统，利用变量代换和函数单调性等相关理论证明该系统在一定条件下是持久生存的．
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| 关 键 词： | Beddington—DeAngelis 扩散 投放率 持久性 |
Persistence of Nonautonomous Predator-prey Model with Diffusion of Prey and Invest Rate |
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| LIANG Gui-zhen,SI Gui-rong. Persistence of Nonautonomous Predator-prey Model with Diffusion of Prey and Invest Rate[J]. , 2012, 0(2): 97-99 |
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| Authors: | LIANG Gui-zhen SI Gui-rong |
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| Affiliation: | 1. Department of Mathematics and Information Science, Xinxiang University, Xinxiang 453003, China; 2. Xingan Meng Radio and Television University of Inner Mongolia, Ulanhot 137400, China) |
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| Abstract: | A nonautonomous predator-prey system with diffusion of prey and invest rate is researched. It is proved that the system is persistent under suitable condition by correlation theory of variable substitution and monotony of function etc. |
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| Keywords: | Beddington-DeAngelis diffusion invest rate persistence |
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