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一类具有收获率的时滞种群模型分岔行为分析 被引量：1

Bifurcation in a kind of population model with time delay and harvesting constant
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摘要 考虑了一类具有常数收获率的时滞种群模型,研究了种群的稳定性和分岔行为。通过对特征方程的研究,给出了种群稳定以及发生分岔行为的充分条件;利用Matlab软件给出了种群模型的数值模拟结果,也给出了相空间的相轨线,研究了时滞和常数收获率两个因素对系统稳定性的影响,同时也验证了所得结论的正确性。 A kind of population model with delay and constant harvesting rate is investigated to study the stability and bifurcation of the population. Through the characteristic equation, the sufficient conditions for stability and bifurcation are given and the population model is simulated out with Matlab software. We get the trace of phase space and study the influence of time delay and constant harvesting rate on the system stability to testify the correctness of the conclusion.
作者 李石涛 李冬梅
机构地区 沈阳工业大学基础部 哈尔滨理工大学应用科学学院
出处 《长春工业大学学报》 CAS 2009年第5期578-581,共4页 Journal of Changchun University of Technology
基金 黑龙江省自然科学基金资助项目(A200502) 黑龙江省教育厅基金资助项目(10051061)
关键词 时滞 收获率 种群 稳定性 分岔 time delay harvesting rate population stability bifurcation.
分类号 O175 [理学—基础数学]
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参考文献9

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  • 1杨卓琴,陆启韶.神经元Chay模型中不同类型的簇放电模式[J].中国科学（G辑）,2007,37(4):440-450. 被引量：15
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  • 4Izhikevich E M. Neural excitability spiking and bursting[J]. Int. J. Bifurcat. Chaos. ,2000, 10: 1171-1266.
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  • 8Rinzel J. Bursting oscillation in an excitable membrane model in ordinary and partial diferential equa- tions[M]. Berlin: Springer-Verlag,1985.
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  • 10张艳娇,李美生,陆启韶.ML神经元的放电模式及时滞对神经元同步的影响[J].动力学与控制学报,2009,7(1):19-23. 被引量：14

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长春工业大学学报
2009年 第5期

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