国家自然科学基金(10426010)

作品数：5被引量：48H指数：4
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相关作者：陈凤德张惠英陈晓星谢向东更多>>
相关机构：福州大学宁德师范高等专科学校更多>>
相关期刊：《Acta Mathematica Sinica,English Series》《Acta Mathematicae Applicatae Sinica》《数学物理学报（A辑）》更多>>
相关主题：捕食者-食饵系统捕食者捕食模型HOLLING周期解的存在性更多>>
相关领域：理学生物学医药卫生更多>>
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捕食者具有阶段结构Holling Ⅱ类功能性反应的捕食模型正周期解的存在性以及全局吸引性被引量：29
《数学物理学报（A辑）》2006年第1期93-103,共11页陈凤德 陈晓星 张惠英 
国家自然科学基金(天元基金)(10426010);福建省青年科技人才创新基金(2004J002);福建省教育厅基金(JA04156);福州大学校科技发展基金(2003-XQ-21)资助
利用重合度理论中的延拓定理讨论了捕食者具有阶段结构Holling Ⅱ类功能性反应的捕食模型的正周期解的存在性,得到了保证周期解存在的充分性条件,推广了已知的相关结果．同时通过构造Lyapunov函数得到了保证周期解稳定性的充分性条件．
关键词：捕食者-食饵系统 HOLLING Ⅱ类功能性反应 阶段结构 重合度 周期解 
EFFECT OF TOXIC SUBSTANCE ON A NONAUTONOMOUS COMPETITIVE SYSTEM
《Annals of Differential Equations》2005年第3期305-310,共6页He Weilian 
This work is supported by the National Natural Science Foundation of China (Tian Yuan Foundation) (10426010) the Foundation of Science and Technology of Fujian Province for Young Scholars (2004J0002) the Foundation of Fujian Education Bureau (JA04156) the Foundation of Developing Science Technology of Fuzhou University (2003-QX-21).
In this paper, we consider a nonautonomous competitive system which is also affected by toxic substances. Some averaged conditions for the permanence of this system are obtained. Our result shows that under some suita...
关键词：COMPETITION TOXICOLOGY average condition PERMANENCE ATTRACTIVITY 
一类具有二虚不变直线的三次系统的极限环与分支被引量：9
《数学物理学报（A辑）》2005年第4期538-545,共8页谢向东 陈凤德 
国家自然科学基金(数学天元基金)(10426010);福建省教育厅科研基金(JA04274);宁德师专重点科研基金资助
讨论一类具有二虚平行不变直线的三次系统,求出了奇点O(0,0)的焦点量,证明了δlmn=0时系统在O外围至多有一个极限环.利用分支理论给出了分界线环和半稳定环分支曲线的分支图,进一步说明了系统至多有二个极限环.
关键词：不变直线 三次系统 分支 极限环 唯一性 
Positive Periodic Solutions of a Class of Non-autonomous Single Species Population Model with Delays and Feedback Control被引量：5
《Acta Mathematica Sinica,English Series》2005年第6期1319-1336,共18页Feng De CHEN Xiao Xin CHEN Jin De CAO An Ping CHEN 
supported by the National Natural Science Foundation of China under the Grant(10426010);the Foundation of Science and Technology of Fujian Province for Young Scholars(2004J0002);the Foundation of Fujian Education Bureau(JA04156);the National Natural Science Foundation of China under Grant 60373067;the Natural Science Foundation of Jiangsu Province,China under Grants BK2003053;Qing-Lan Engineering Project of Jiangsu Province,the Foundation of Southeast University,Nanjing,China under Grant XJ030714
With the help of a continuation theorem based on Gaines and Mawhin＇s coincidence degree, several verifiable criteria are established for the global existence of positive periodic solutions of a class of non-autonomou...
关键词：Positive periodic solutions DELAYS Coincidence degree Single species model 
Periodicity in a Nonlinear Predator-prey System with State Dependent Delays被引量：5
《Acta Mathematicae Applicatae Sinica》2005年第1期49-60,共12页Feng-deChen Jin-linShi 
Supported by the National Natural Science Foundation of China (Tian Yuan Foundation) (No.10426010);the Foundation of Science and Technology of Fujian Province for Young Scholars (2004J0002);the Foundation of Fujian Education Bureau (JA04156, JA0301
With the help of a continuation theorem based on Gaines and Mawhinscoincidence degree, easily verifiable criteria are established for the global existence of positiveperiodic solutions of the following nonlinear state...
关键词：periodic solutions NONLINEAR DELAY PREDATOR-PREY coincidence degree 
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