Positive Periodic Solution of a Neutral Predator-Prey System
-
摘要: 研究了中立型捕食者-被捕食者模型 的周期正解的存在性,具有r,a2,k,τ均为正常数,a1(t),A(t),b(t),β(t)均为ω周期连续正函数.
-
关键词:
- 中立型时滞系统 /
- 捕食者-被捕食者系统 /
- 周期正解 /
- 拓扑度
Abstract: In this paper,the existence of a positive periodic solution to the following neutral predator-prey systemis studied,in whichr,a2,K and τ are positive constants,and a1(t),A(t),b(t)and β(t)are positive continuous functions of period ω. -
[1] Gopalsamy K,He X,Wen L.On a periodic neutral logistic equation[J].Glasgow Math J,1991,33:281~286. [2] 李永昆.中立时滞型种群模型的周期正解[J].数学学报,1996,39(6):789~795. [3] Kuang Y.Delay Differential Equations with Applications in Population Dynamics[M].Boston: [4] Academic Press,1993. [5] Kuang Y,Feldstein A.Boundedness of solutions of nonlinear nonautonomous neutral delay equations[J].J Math Anal Appl,1991,156:193~204. [6] Gaines R E,Mawhin J L.Coincidence Degree and Nonlinear Differential Equations Lecture Notes in Mathamatics[M].Vol 568,New York:Springer-Verlag,1977. [7] May R M.Stability and Complexity in Model Ecosystems[M].Princeton:Princeton U Press,1974. [8] Gopalsamy K.Stability and Oscillations in Delay Differential Equations of Population Dynamics[M].Boston:Kluwer Academic Publisher,1992.
计量
- 文章访问数: 2529
- HTML全文浏览量: 142
- PDF下载量: 603
- 被引次数: 0