| 一类具有时滞的捕食与被捕食模型的稳定性和Hopf分支 |
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| 引用本文： | 张新锋,陈斯养.一类具有时滞的捕食与被捕食模型的稳定性和Hopf分支[J].云南师范大学学报(自然科学版),2012,32(1):36-41. |
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| 作者姓名： | 张新锋 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(1087112260671063) |
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| 摘 要： | 研究了具有离散和连续时滞的Host-Parasitoid模型的Hopf分支问题.以时滞为参数,利用特征值理论给出了系统正平衡态的稳定性和Hopf分支存在的充分条件;通过举例验证了理论分析和数值计算的一致性.
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| 关 键 词： | 捕食-被捕食时滞模型 稳定性 Hopf分支 |
Hopf Bifurcation and Stability for a Model With Delay of a Class of Host-Parasitoid |
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| ZHANG Xin-feng
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CHEN Si-yang.Hopf Bifurcation and Stability for a Model With Delay of a Class of Host-Parasitoid[J].Journal of Yunnan Normal University (Natural Sciences Edition),2012,32(1):36-41. |
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| Authors: | ZHANG Xin-feng CHEN Si-yang |
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| Institution: | (College of Mathematics and Information Science,Shanxi Normal University,Xian 710062,China) |
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| Abstract: | The Hopf bifurcation in Host-Parasitoid model with the distributed and discrete delay is investigated.With time lag as a parameter,sufficient conditions of the asymptotically stability of the model and of the existence of the hopf bifurcation by using the theory of characteristic value.some numerical examples supporting our theoretical predictions are also given. |
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| Keywords: | Host-Parasitoid delay system Hopf bifurcation stability numerical analysis |
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