| 具有收获和分段常数变量的捕食-被捕食模型的分支分析 |
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| 引用本文： | 刘敏,陈斯养.具有收获和分段常数变量的捕食-被捕食模型的分支分析[J].云南师范大学学报(自然科学版),2013(5):41-47. |
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| 作者姓名： | 刘敏 陈斯养 |
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| 作者单位： | 陕西师范大学数学与信息科学学院,陕西西安710062 |
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| 基金项目： | 国家自然科学基金资助项目（10871122;11171199）. |
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| 摘 要： | 讨论了具有分段常数变量与收获的捕食-被捕食模型局部稳定性及分支分析.运用Jury判据得到模型正平衡态局部渐近稳定的充分条件;应用中心流形定理和分支理论给出模型分支存在及方向的条件;利用实例验证定理条件与结论的正确性.
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| 关 键 词： | 分段常数变量 收获 稳定性 Flip分支 |
Stability and Bifurcation Analysis of a Predator-prey Model with Piecewise Constant Arguments and Harvest |
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| LIU Min,CHEN Si-yang.Stability and Bifurcation Analysis of a Predator-prey Model with Piecewise Constant Arguments and Harvest[J].Journal of Yunnan Normal University (Natural Sciences Edition),2013(5):41-47. |
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| Authors: | LIU Min CHEN Si-yang |
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| Institution: | (College of Mathematics and Information Science,Shanxi Normal University,Xi＇ an 710062,China) |
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| Abstract: | The stability of equilibrium point and bifurcation analysis of a predator-prey model with piecewise constant arguments and harvest was studied.Sufficient conditions for the local asymptotically stability of this model was derived by using the Jury criterion.Also,conditions for the existence of bifurcation was discussed by applying the center manifold theorem.At last,some numerical examples supporting our theoretical predictions were given. |
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| Keywords: | Piecewise constant argument Harvest Stability Flip branch |
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