| 具非连续收获策略的Gilpin-Ayala竞争系统周期解的存在性 |
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| 引用本文： | 张道祥,丁伟伟.具非连续收获策略的Gilpin-Ayala竞争系统周期解的存在性[J].安徽师范大学学报(自然科学版),2014,37(6). |
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| 作者姓名： | 张道祥 丁伟伟 |
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| 作者单位： | 安徽师范大学数学计算机科学学院,安徽芜湖241000;北京工业大学机电学院,北京100124;安徽师范大学数学计算机科学学院,安徽芜湖,241000 |
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| 基金项目： | the National Natural Science Foundation of China，The TianYuan Special Funds of the National Natural Science Foundation for Young Scientists of China，The Foundation of Outstanding Young Talent in University of Anhui Province |
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| 摘 要： | 考虑非连续收获策略对Gilpin-Ayala竞争系统动力学的影响,本文提出了下面带有非连续收获策略的n维时滞Gilpin-Ayala竞争系统.dxi(t)/dt=xi(t)bi(t)-n∑j =1∫∞0xθjij(t-s)dsKij(t,s)]-εi(t)hi(xi(t))xi(t),i =1,2,…,n.利用集值映射的锥拉伸压缩不动点定理,获得了这个竞争系统的正周期解存在的充分条件.
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| 关 键 词： | 正周期解 Gilpin-Ayala竞争系统 锥拉伸压缩不动点定理 收获策略 |
Existence of Positive Periodic Solutions of Delayed Gilpin-Ayala Competition Systems with Discontinuous Harvesting Policies |
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| ZHANG Dao-xiang,DING Wei-wei.Existence of Positive Periodic Solutions of Delayed Gilpin-Ayala Competition Systems with Discontinuous Harvesting Policies[J].Journal of Anhui Normal University(Natural Science Edition),2014,37(6). |
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| Authors: | ZHANG Dao-xiang DING Wei-wei |
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| Abstract: | |
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| Keywords: | positive periodic solutions Gilpin-Ayala competition system cone expansion and compression fixed point theorem harvesting policy |
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