期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

中立型时滞种群对数模型的正周期解 被引量：2

Positive periodic solution for delay neutral population
下载PDF
导出
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,所得结果推广了文[1]中的有关结论,并使条件有所减弱. Using better prior estimate, the theory of Brouwer degree and coincidence degree, the existence of positive periodic solution of a kind of neutral population model is studied. Some sufficient conditions are obtained,which is improvement of the theorem in the reference [1].
作者 唐美兰 刘心歌 刘心笔
机构地区 中南大学数学科学与计算技术学院 中南大学材料学院
出处 《广西大学学报（自然科学版）》 CAS CSCD 2005年第3期238-241,共4页 Journal of Guangxi University（Natural Science Edition）
基金 国家科技部973项目(1999064911)
关键词 时滞种群模型 正周期解 重合度 delays neutral population model positive periodic solution toplogical degree
分类号 O175.4 [理学—基础数学]
  • 相关文献

参考文献4

二级参考文献20

  • 1赵维锐,阮炯.具有滞后的Hopfield连续神经网络的稳定性[J].复旦学报（自然科学版）,1994,33(2):214-218. 被引量：8
  • 2Gopalsamy K. Siability and oscillation in delay differential equations of population dynamics[A]. Mathematics and its applications 74 [ C ]. Dordrecht : Kluwer Academic Publishers Group, 1992.
  • 3Li 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.
  • 4Arino O, Sanschez E , Fathallah A. State- dependent delay differential equations in population dynamics, modeling and analysis[J]. Topics in Functional Differential and Difference Equations, Fields Institute Communications (T. Faria and P. Freitas, Eds. ),2001, 29:19 - 36.
  • 5El Hadi Ait Dads, Khalil Ezzinbi. Boundedness and almost perildicity for Some state- dependent delay differential equations[J].Electronic Journal of Differential Equations, 2002, 2002(67) : 1 - 13.
  • 6Kato S, Existence. Uniqueness and continuous dependence of solutions of delay - differential equations with infinite delay in a Banach space[J]. Journal of Mathematical Analysis and Applications, 1995, 195(1) :23- 37.
  • 7Kuang Y, Smith H L. Slowly oscillating periodic solutions of autonomous state- dependent delay equations[J]. Nonlinear Analysis, 1992, 19(9):855-872.
  • 8Yongkun Li, Yang Kuang. Periodic solutilns in periodic state- dependent delay equations and population models[J]. Proceeding of the American Mathematical Society, 2002, 130(5) : 1 345 - 1 353.
  • 9Chen Fengde, Shi Jinlin . Periodic solution of higher order non - autonomous systems[J]. Acta Mathematics Sinica, 2000, 43(5), 887 - 894.
  • 10Chen Fengde. Periodic solution of nonlinear integral - differential equations with infinite delay[J]. Aeta Mathematieae Applieatae Sinica, 2003, 26(1):1-8.

共引文献17

同被引文献15

  • 1梁志清.一类基于比例确定的离散Leslie系统正周期解的存在性[J].生物数学学报,2004,19(4):421-427. 被引量：9
  • 2潘红卫,梁志清.一类具相互干扰捕食模型的全局渐近稳定性[J].广西民族学院学报（自然科学版）,2005,11(2):69-71. 被引量：2
  • 3CLARK C W. Mathematical bioeconomics:the optimal management of renewable resource[M]. 2nd ed. New York :John Wiley and Sons, 1990.
  • 4FAN Meng, WANG Ke. Optimal harvesting policy for single population with periodic coeffcients[J]. Math Biosci, 1998,152(2) : 165-177.
  • 5ALVAREZ H R, SHEPP L A. Optimal harvesting of stochastically fluctuating population [J]. Math Biosci, 1998,37:155-177.
  • 6ZHANG R Y, WANG Z C, CHEN Y, et al. Periodic solution of a single species discrete population model with periodic harvest stock[J]. Computers Math Appl, 2000,39(1) :77-90.
  • 7HUANG Yunjin, CHEN Fengde, ZHONG Li. Stability analysis of a prey-predator model with Holling type Ill response function incorporating a prey refuge[J]. Applied Mathematics and Computation, 2006,182(1) : 672-683.
  • 8TAPAN K K. Modelling and analysis of a harvested prey-predator system incorporating a prey refuge[J].Comput Math Appl,2006,185(1)..19-33.
  • 9LAKSHMIKANTHAM V, BAINOV D D, SIMEONOV P S. Theory of impulsive differential equations[M]. Singapore.. World Scientific, 1989.
  • 10LAKMECHE A, ARINO O. Bifurcation of nontrivial periodic solutions of impulsive differential equations arising chemotherapeutic treatment, dynamics of continuous[J]. Discrete and Impulsive System,2000(7) : 265-287.

引证文献2

二级引证文献2

广西大学学报（自然科学版）
2005年 第3期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部