| 具有混合时滞血液模型的Hopf分支与数值分析 |
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| 引用本文： | 杨小婧,陈斯养.具有混合时滞血液模型的Hopf分支与数值分析[J].计算机工程与应用,2010,46(31):139-142. |
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| 作者姓名： | 杨小婧 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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| 摘 要： | 研究了一类具有混合时滞血液模型的Hopf分支问题。首先以特征值理论为基础得到了模型无条件稳定的充要条件；其次给出了Hopf分支的存在性及分支处模型平衡态稳定性的条件；最后通过数值分析验证了定理条件和结论的可实现性。
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| 关 键 词： | 时滞 Hopf分支 稳定性 血液模型 |
| 收稿时间： | 2010-1-11 |
| 修稿时间： | 2010-5-28
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Hopf bifurcation for general hematopoiesis model with continuous and discrete time-delay and numerical analysis |
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| YANG Xiao-jing,CHEN Si-yang.Hopf bifurcation for general hematopoiesis model with continuous and discrete time-delay and numerical analysis[J].Computer Engineering and Applications,2010,46(31):139-142. |
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| Authors: | YANG Xiao-jing CHEN Si-yang |
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| Affiliation: | (College of Mathematics and Information Science, Shaanxi Normal University,Xi＇an 710062,China) |
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| Abstract: | The stability and Hopf bifurcation for a general hematopoiesis model with continuous and discrete delays of inter-ference are investigated.Sufficient conditions of absolute stability are obtained by using the theory of characteristic value.Furthermore, the conditions of the existence of Hopf bifurcation and the stability of model are given.Finally, the feasibility of the main results is shown by the numerical simulations. |
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| Keywords: | delay hopf bifurcation stability hematopoiesis model |
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