| 具有投放的周期系数Schoner生态模型的极限性态 |
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| 引用本文： | 陆忠华,陈菊芳.具有投放的周期系数Schoner生态模型的极限性态[J].陕西师范大学学报,1995(3). |
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| 作者姓名： | 陆忠华 陈菊芳 |
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| 作者单位： | 西安统计学院基础课部，陕西师范大学数学系 |
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| 摘 要： | 讨论了具有投放率的周期系数Ｓｃｈｏｎｅｒ生态模型，运用Ｂｒｏｕｗｅｒ不动点定理、凹算子和解算子最终收敛于不动点的方法，得到正周期解的存在性和唯一性及全局渐近稳定性的充分条件．
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| 关 键 词： | 不动点方法 非自治 Schoner生态模型 周期解 全局稳定性 |
Limiting behaviour of the non-autonomour Schoner biological model with grazing rates |
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| Lu Zhonghua,Chen Jufang.Limiting behaviour of the non-autonomour Schoner biological model with grazing rates[J].Journal of Shaanxi Normal University: Nat Sci Ed,1995(3). |
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| Authors: | Lu Zhonghua Chen Jufang |
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| Abstract: | The non-autonomous Schoner biological model with grazing rates is considered,where all the parameters and the grazing rates are periodic functions respectively. The Brouwer fixed-point theorem, the method of the concave operator and the translation operator converges to the fixed point are used. The existence, uniqueness and stability of the positive periodic solution are obtained, and it is further proved that the periodic solution is global stable. |
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| Keywords: | fixed-point method non-autonomous Schoner biological model periodic solution global stability |
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