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一类非Logistic种群生长模型解的稳定性
On the Stability of A Non-Logistic Delay Population Model
【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。
【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.
【关键词】 时滞微分方程;
振动解;
一致稳定;
【Key words】 delay differential equation; oscillatory solution; uniformly stable;
【Key words】 delay differential equation; oscillatory solution; uniformly stable;
- 【文献出处】 中国矿业大学学报 ,JOURNAL OF CHINA UNIVERSITY OF MINING & TECHNOLOGY , 编辑部邮箱 ,1996年03期
- 【分类号】O175.13
- 【被引频次】1
- 【下载频次】70