时间尺度上具有时滞追捕模型的正周期解的存在性
Existence of Positive Periodic Solutions for a Predator-prey System with Time Delay on Time Scales
摘要
文章应用迭合度方法获得了时间尺度上一类具有时滞追捕模型的正周期解存在性的充分条件。利用时间尺度将连续和离散模型统一起来,有助于对微分和差分方程的研究。
The paper obtains the sufficient conditions of the existence of positive periodic solution for a predatorprey system with time delay on time scales by using the Mawhin＇s continuation theorem of coincidence degree theory. Unifying continuous and discrete models with time scales contributes to the research of differential and difference equations.
出处
《文山学院学报》
2011年第3期33-36,共4页
Journal of Wenshan University
关键词
时间尺度
周期解
迭合度
追捕模型
time scales
periodic solution
coincidence degree
predator-prey model
参考文献5
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1Jin Z, Han M, Li G. The persistence in a Lotka - Voherra competition systems with impulsive [ J ]. Chaos, Solitons and Fractals, 2005, (4) :1105 - 1117.
-
2Wang F, Zhang S, Chen L, Sun L. Bifurcation and complexity of Monod type predator- prey system in a pulsed chemostat[ J ]. Chaos, Solitons and Fractals ,2006, (2) :447 - 458.
-
3Canan Celik. The stability and Hopf bifurcation for a predator - prey system with time delay [ J ]. Chaos, Solitons and Fractals, 2008, ( 1 ) :87 - 99.
-
4Gaines R. E. , Mawhin R. M.. Coincidence Degree and Nonlinear Differential Equations[ M]. Berlin:Springer -Verlag, 1977.
-
5li Y. K.. On a periodic mutualism model[ J]. ANZIAM J. 2001 ,(42) :569 -580.
