| 具有时滞的Beddington—DeAngelis功能性反应捕食系统 |
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| 引用本文： | 陈丹,张树文. 具有时滞的Beddington—DeAngelis功能性反应捕食系统[J]. 厦门水产学院学报, 2011, 0(1): 71-74 |
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| 作者姓名： | 陈丹 张树文 |
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| 作者单位： | 集美大学理学院,福建厦门361021 |
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| 基金项目： | [基金项目]福建省自然科学基金项目（2008J0199） |
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| 摘 要： | 研究了具有时滞和Beddington—DeAngelis功能性反应的4种群捕食食饵系统，并利用微分方程比较原理，得到了该系统持续生存的充分性条件．对于周期系统的情形，得到了系统的正周期解存在唯一和全局渐近稳定的充分性条件．
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| 关 键 词： | Beddington—DeAngelis功能性反应 时滞 持久性 全局渐近稳定性 |
Permanence and Global Attractivity of Predator- Prey System with Time Delay and Beddington- DeAngelis Functional Response |
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| CHEN Dan,ZHANG Shu-wen. Permanence and Global Attractivity of Predator- Prey System with Time Delay and Beddington- DeAngelis Functional Response[J]. , 2011, 0(1): 71-74 |
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| Authors: | CHEN Dan ZHANG Shu-wen |
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| Affiliation: | (School of Science, Jimei University, Xiamen 361021, China) |
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| Abstract: | Predator - Prey system of four species with time delay and Beddington - DeAngelis functional response was investigated. By using the comparison theorem of differential equation, sufficient conditions which guaranteed the permanence of the system were obtained. For the periodic case, the conditions for exist- ence, uniqueness and global attractivity of the positive periodic solution of the system were obtained. |
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| Keywords: | Beddington - DeAngelis functional response delay permanence global attractivity |
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