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状态依赖时滞单种群对数模型的正周期解 被引量：13

Positive periodic solutions of state-dependent delay logarithm population model
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摘要 研究状态依赖时滞单种群对数模型周期正解的存在性 ,通过使用一些新的分析技巧获得该模型周期解的先验估计 ,从而利用重合度理论中的连续定理获得保证该模型正周期解存在性的充分性条件 .同时给出一个例子来阐明这个结果 . By applying some new analysis technique, we obtain sufficient conditions for the existence of positive periodic solutions of state-dependent delay logarithm population model. Our approach is based on the continuation theorem of the coincidence degree, and the a-priori estimate of periodic solution. An example is also given to illustrate the result.
作者 陈凤德 陈晓星 林发兴 史金麟
机构地区 福州大学数学系
出处 《福州大学学报（自然科学版）》 CAS CSCD 2003年第3期261-264,共4页 Journal of Fuzhou University(Natural Science Edition)
基金 福州大学人才基金资助项目 ( 0 0 30 82 42 2 8)
关键词 周期解 存在性 时滞种群模型 重合度 periodic solution existence state-dependent delay coincidence degree
分类号 O175.4 [理学—基础数学]
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参考文献11

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同被引文献27

  • 1肖胜中,张新政.时滞小波神经网络的稳定性分析[J].广西大学学报（自然科学版）,2004,29(2):113-116. 被引量：3
  • 2侯淑轩,杨殿武.一次时滞微分方程零解的全局吸引性[J].山东建筑工程学院学报,2004,19(4):62-64. 被引量：1
  • 3陈凯,周立新.一类脉冲时滞微分方程的全局吸引性[J].桂林航天工业高等专科学校学报,2005,10(2):56-57. 被引量：1
  • 4燕居让.非线性脉冲时滞微分方程的全局吸引性[J].山西大学学报（自然科学版）,2007,30(2):129-132. 被引量：1
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  • 8Chen Feng-de,Shi Jin-lin.Periodic Solution of Higher Order Non-auton-systems[J].Acta Mathematics Sinica,2000,43(50):887～894.
  • 9Chen Feng-de,Shi Jin-lin.Periodic Solution of Neutral Higher Order Periodic Systems[J].Acta Mathematics Applicatae Sinica,2003,26(1):1～8.
  • 10Li Yonkun.Attractivity of a positive periodic solution for allother positive solution in a delay population model[J].Applied Mathematics-JCU,1997,12(3):279-182.

引证文献13

二级引证文献5

福州大学学报（自然科学版）
2003年 第3期

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