| 一类具有时滞的广义生态模型的Hopf分支周期解 |
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| 引用本文： | 邓志坚,陈斯养.一类具有时滞的广义生态模型的Hopf分支周期解[J].科学技术与工程,2010,10(11). |
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| 作者姓名： | 邓志坚 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,西安,710062 |
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| 基金项目： | 国家自然科学基金项目(10871122、60671063)资助 |
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| 摘 要： | 研究了一类具有时滞的广义生态模型平衡态的稳定性与Hopf分支存在唯一性。首先,根据线性系统的无条件稳定性与特征值理论,得到模型无条件局部稳定性充要条件;然后,利用函数正交性理论讨论了模型Hopf分支的存在唯一性;最后,举例验证了定理条件和结论的可实现性,利用Matlab给出解曲线的拟合图。
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| 关 键 词： | Hopf分支 无条件稳定性 平衡态 |
| 收稿时间： | 1/19/2010 3:57:53 PM |
| 修稿时间： | 2010/1/28 0:00:00 |
Hopf bifurcation periodic solution for a class general ecological model of delays |
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| Deng Zhijian and Chen Siyang.Hopf bifurcation periodic solution for a class general ecological model of delays[J].Science Technology and Engineering,2010,10(11). |
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| Authors: | Deng Zhijian and Chen Siyang |
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| Institution: | College of Mathematics and Information Science/a>;Shaanxi Normal University/a>;Xi'an 710062/a>;P.R.China |
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| Abstract: | Stability of the positive equilibrium and the existence and uniquity of Hopf bifurcation for a class general ecological model with delays are investigated.At first,the necessary and sufficient conditions of unconditional local stability for the model are obtained by using the unconditional stability of linear system and the theory of characteristic value.Furthermore,regarding to the theory of the function orthogonalization,the existence and uniquity of Hopf bifurcation for the model is given.Finally,some ex... |
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| Keywords: | Hopf bifurcation unconditional stability equilibrium |
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