Periodic solutions of single-species models with periodic delay

Periodic solutions of single-species models with periodic delay
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DOI:
10.1137/0523035
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发表时间:
1992-05
影响因子:
2
通讯作者:
H. I. Freedman;Jianhong Wu
H. I. Freedman;Jianhong Wu
中科院分区:
数学2区
文献类型:
--
作者:
H. I. Freedman;Jianhong Wu

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考虑了一类单种群增长模型,其中种群增长率对种群密度变化的响应具有周期时滞。结果表明,如果自抑制率与再生率相比足够大,则模型方程存在全局渐近稳定的正周期解。
A single-species population growth model is considered, where the growth rate response to changes in its density has a periodic delay. It is shown that if the self-inhibition rate is sufficiently large compared to the reproduction rate, then the model equation has a globally asymptotically stable positive periodic solution.