| 一类非Logistic种群生长模型解的稳定性 |
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| 引用本文： | 吴宗翔.一类非Logistic种群生长模型解的稳定性[J].中国矿业大学学报,1996,25(3):124-130. |
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| 作者姓名： | 吴宗翔 |
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| 作者单位： | 中国矿业大学数力系 |
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| 摘 要： | 研究一类非Ｌｏｇｉｓｔｉｃ种群生长模型ｘ＇（ｔ）＝－ａ（ｔ）ｘ（ｔ－１）［１－ｘ２（ｔ）］，对ａ（ｔ）为常数及一连续函数，分别给出了初值问题解趋于零及零解一致稳定所应满足的条件。
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| 关 键 词： | 时滞微分方程，振动解，一致稳定 |
On the Stability of A Non-Logistic Delay Population Model |
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| Wu Zongxiang.On the Stability of A Non-Logistic Delay Population Model[J].Journal of China University of Mining & Technology,1996,25(3):124-130. |
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| Authors: | Wu Zongxiang |
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| Abstract: | In this paper, we discuss a non-Logistic population model x'(t)=-a(t)x(t-1)1-x2(t)] with a constant or a continuous function a(t). When the solutions of a Cauchy problem tend to zero and the zero solutions are uniformly stable, we get the conditions that a(t) are satisfied. |
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| Keywords: | delay differential equation oscillatory solution uniformly stable |
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