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一类多时滞中立型种群对数模型的正周期解

Positive Periodic Solution for a Class of Neutral Population Model with Multiple Delays
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摘要 通过更精确的先验估计,利用重合度理论中的连续定理,研究了一类时滞种群模型的周期解,获得了这类模型存在正周期解的充分条件,所得结果推广了李永民的有关结论,并使条件有所减弱. By using better prior estimate, the theory of Brouwer degree and coincidence degree, this paper studies the existence of positive periodic solution of a kind of neutral population model with multiple delays and obtains some sufficient conditions, which is the improvement of the theorem in the paper.
作者 向占宏 孙光
机构地区 湖南财经高等专科学校信息管理系
出处 《湖州师范学院学报》 2006年第1期38-41,共4页 Journal of Huzhou University
基金 国家科技部973项目基金资助项目(1999064911) 湖南省财政资助项目(2004060420)
关键词 时滞种群模型 正周期解 重合度 delays neutral population model positive periodic solution topological degree
分类号 O175.4 [理学—基础数学]
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参考文献5

  • 1李永昆.一个周期中立型对数种群模型[J].系统科学与数学,1999,19(1):34-38. 被引量：11
  • 2陈凤德,陈晓星,林发兴,史金麟.状态依赖时滞单种群对数模型的正周期解[J].福州大学学报（自然科学版）,2003,31(3):261-264. 被引量：13
  • 3Gaines R E,Mawhin J L.Coincidence Degree and Nonlinear Differential Equations[M].New York:Spring-Verlag,1977.295～307.
  • 4Chen Feng-de,Shi Jin-lin.Periodic Solution of Higher Order Non-auton-systems[J].Acta Mathematics Sinica,2000,43(50):887～894.
  • 5Chen Feng-de,Shi Jin-lin.Periodic Solution of Neutral Higher Order Periodic Systems[J].Acta Mathematics Applicatae Sinica,2003,26(1):1～8.

二级参考文献14

  • 1Gopalsamy K. Siability and oscillation in delay differential equations of population dynamics[A]. Mathematics and its applications 74 [ C ]. Dordrecht : Kluwer Academic Publishers Group, 1992.
  • 2Li Yonhkun. Attraetivity of a positive periodic solution for all other positive solution in a delay population model[J]. Applied Mathematics - JCU, 1997, 12(3) :279 - 282.
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  • 8Chen Fengde, Shi Jinlin . Periodic solution of higher order non - autonomous systems[J]. Acta Mathematics Sinica, 2000, 43(5), 887 - 894.
  • 9Chen Fengde. Periodic solution of nonlinear integral - differential equations with infinite delay[J]. Aeta Mathematieae Applieatae Sinica, 2003, 26(1):1-8.
  • 10Chen Fengde, Shi Jinlin. Perildic solution of neutral higher order periodic systems[J]. Acta Mathematics Sinica, 2(!)3,46(6) : 10 - 24.

共引文献15

湖州师范学院学报
2006年 第1期

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