| 具有时滞和反馈控制的Logistic增长模型的正周期解 |
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| 引用本文： | 孙德献,陈凤德,陈晓星. 具有时滞和反馈控制的Logistic增长模型的正周期解[J]. 生物数学学报, 2005, 20(4): 447-455 |
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| 作者姓名： | 孙德献 陈凤德 陈晓星 |
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| 作者单位： | 福州大学,数学系,福建,福州,350002 |
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| 基金项目： | 福建省青年科技人才人才创新基金（2004J002）;福建省教育厅基金（JA04156）资助项目 |
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| 摘 要： | 首次研究同时具有状态依赖时滞和连续时滞的反馈控制Logistic增长模型，利用重合度理论研究其正周期解的存在性问题，得到了该系统周期正解存在的充分性条件，同时通过构造适当地Lyapunov泛函得到保证该系统（在适当限制下）存在全局稳定周期解的充分性条件，得到一些新结果，所得结果推广和改进了相关文献的主要结果。
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| 关 键 词： | 状态依赖时滞 连续时滞 周期正解 重合度 反馈控制 |
| 文章编号： | 1001-9626（2005）04-0447-09 |
| 收稿时间： | 2003-04-30 |
| 修稿时间： | 2003-04-30 |
Perodicity of the Delay Logistic Model with Feedback Control |
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| SUN De-xian,CHEN Feng-de,CHEN Xiao-xing. Perodicity of the Delay Logistic Model with Feedback Control[J]. Journal of Biomathematics, 2005, 20(4): 447-455 |
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| Authors: | SUN De-xian CHEN Feng-de CHEN Xiao-xing |
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| Affiliation: | Department of Mathematics, Fuzhou University, Fuzhou Fujian 350002 China |
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| Abstract: | In this paper, we first establish delay and continuous delay and feedback control the Logistic model with both state-dependent then after developing some new technique of analysis, using the theory of coincide degree, Some new results for the existence of the postive periodic solution of the system are obtained. By constructing suitable Lyapunov functional, sufficient condition which guarantee the global attractivity of the T-periodic solution are obtained. Our results improve and generalize some known results. |
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| Keywords: | State-dependent delay Continuous delay Positive periodic solution Feedback control Coincide degree |
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