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一类三种群离散型捕食系统的周期解 被引量：9

Periodic Solution of a Class of Predator-Prey Systems of Three Species with Discrete Time
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摘要 本文研究了一类三种群离散型捕食者 食饵系统 .利用重合度理论建立了这类系统正周期解的存在性判据 . In this paper, a class of predator-prey systems of three species with discrete time is studied. By using coincidence degree theory, we establish the existence critertion of positive periodic solution for the system.
作者 董士杰 葛渭高 等
机构地区 北京理工大学应用数学系
出处 《应用数学》 CSCD 北大核心 2002年第4期1-6,共6页 Mathematica Applicata
基金 国家自然科学基金 ( 198710 0 5) 教委博士点专项基金资助 ( 19990 0 0 72 2 )项目
关键词 捕食者-食饵系统 正周期解 重合度理论 Predator-Prey system Positive periodic solution Coincidence degree theory
分类号 Q141 [生物学—生态学] O175.8 [理学—基础数学]
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参考文献8

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同被引文献25

  • 1李岚,杨文泉,杜春雪.基于Volterra捕食模型多个非线性系统的稳定性分析[J].佳木斯大学学报（自然科学版）,2007,25(1):111-113. 被引量：1
  • 2申建华.脉冲积分——微分方程的几个渐近稳定性结果[J].数学年刊（A辑）,1996,1(6):759-764. 被引量：3
  • 3[2]Gaines R E,Mawhin J L.Coincidence degree and nonlinear differential equations[M].berlin,Springer-Verlay,1977.
  • 4Gaines R,Mawhin J.Coincdence Degree and Nonlinear Differential Equations[M].Berlin,Springer,1997.
  • 5熊佐亮.周期时滞schoner模型的周期正解[A]..CSIAM''2000中国工业与应用数学学会第六次大会论文集[C].北京:北京大学出版社,2000..
  • 6Hirsch M W.Systems of differential equations that are competitive or cooperative Ⅴ.Convergence in 3-dimensional systems[J].J Diff Eq,1989,80:94-105.
  • 7Hirsch M W.Systems of differential equations that are competitive or cooperative Ⅰ.Limit sets[J].SIAM J Math Anal,1982,13(2):167-179.
  • 8Hirsch M W.Systems of differential equations that are competitive or cooperative Ⅱ.Convergence almost everywhere[J].SIAM J Math Anal,1985,16(3):423-439.
  • 9Hu Si-hu,Huang Li-hong,Yi Tai-shan.Convergence of bounded solutions for a class of systems of delay differential equations[J].Nonliear Analysis,2005,61:543-549.
  • 10Hal L Smith.Monotone dynamical systems(An introduction to the theory of competitive and cooperative systems)[J].American Mathematical Society,1995,41:38-40.

引证文献9

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应用数学
2002年 第4期

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