| 一类考虑收获的时滞捕食系统的稳定性与Hopf分支研究 |
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| 引用本文： | 王玮明,凌丽. 一类考虑收获的时滞捕食系统的稳定性与Hopf分支研究[J]. 生物数学学报, 2009, 0(4): 577-590 |
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| 作者姓名： | 王玮明 凌丽 |
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| 作者单位： | 温州大学数学与信息科学学院,浙江温州325035 |
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| 基金项目： | This research was supported by the Science Foundation of Zhejiang Province （Y7080041） and the Shanghai Postdoctoral Scientific Program （09R21410700）. |
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| 摘 要： | 给出了一类考虑收获的时滞捕食系统的局部稳定性判断,并由规范型理论和中心流形定理推导出了Hopf分支的方向、稳定性等条件,最后给出了两个数值模拟例子验证了结论的正确性.
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| 关 键 词： | 捕食系统 时滞 Hopf分支 |
Stability and Hopf Bifurcation Analysis of a Delayed Predator-Prey Model with Constant Rate Harvesting |
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| WANG Wei-ming,LING Li. Stability and Hopf Bifurcation Analysis of a Delayed Predator-Prey Model with Constant Rate Harvesting[J]. Journal of Biomathematics, 2009, 0(4): 577-590 |
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| Authors: | WANG Wei-ming LING Li |
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| Affiliation: | 1 College of Mathematics and Information Science,Wenzhou University,Wenzhou Zhejiang 325035 China) (2 School of Mathematical Sciences,Fudan University,Shanghai 200433 China) |
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| Abstract: | In this paper,by using the method of qualitative analysis,we investigate the effect of time delay on the dynamics of a predator-prey model with constant rate harvesting to prey.We obtain the conditions of local stability and the occurrence of Hopf bifurcation.Furthermore,we present a theoretical analysis of the direction and stability of the Hopf bifurcation.And two examples which give numerical simulation results are performed to support the theoretical predictions. |
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| Keywords: | Predator-prey model Time delay Hopf Bifurcation |
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