| 一类具有收获率的时滞种群模型分岔行为分析 |
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| 引用本文： | 李石涛,李冬梅.一类具有收获率的时滞种群模型分岔行为分析[J].吉林工学院学报,2009,30(5):578-581. |
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| 作者姓名： | 李石涛 李冬梅 |
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| 作者单位： | 李石涛(沈阳工业大学,基础部,辽宁,辽阳,111000);李冬梅(哈尔滨理工大学,应用科学学院,黑龙江,哈尔滨,150080) |
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| 基金项目： | 黑龙江省自然科学基金资助项目，黑龙江省教育厅基金资助项目 |
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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。
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| 关 键 词： | 时滞 收获率 种群 稳定性 分岔 |
Bifurcation in a kind of population model with time delay and harvesting constant |
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| Affiliation: | LI Shi-tao, LI Dong-mei (1. Department of Basic Course, Shenyang University of Technology, Liaoyang 111000, China; 2. Applied Science College, Harbin University of Science and Technology, Harbin 150080, China) |
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| Abstract: | 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. |
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| Keywords: | time delay harvesting rate population stability bifurcation |
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