FLIP AND N-S BIFURCATION BEHAVIOR OF A PREDATOR-PREY MODEL WITH PIECEWISE CONSTANT ARGUMENTS AND TIME DELAY  

作　　者：尚随明 田玉 张雅静 

机构地区：[1]School of Science,Beijing University of Posts and Telecommunications,Beijing 100876,China [2]Automation School,Beijing University of Posts and Telecommunications,Beijing 100876,China [3]school of science,agriculture university of hebei,Baoding 071001,China

出　　处：《Acta Mathematica Scientia》2017年第6期1705-1726,共22页数学物理学报（B辑英文版）

基　　金：supported by Beijing Higher Education Young Elite Teacher(YETP0458)

摘　　要：In this paper, the stability and bifurcation behaviors of a predator-prey model with the piecewise constant arguments and time delay are investigated. Technical approach is fully based on Jury criterion and bifurcation theory. The interesting point is that the model will produce two different branches by limiting branch parameters of different intervals. Besides, image simulation is also given.In this paper, the stability and bifurcation behaviors of a predator-prey model with the piecewise constant arguments and time delay are investigated. Technical approach is fully based on Jury criterion and bifurcation theory. The interesting point is that the model will produce two different branches by limiting branch parameters of different intervals. Besides, image simulation is also given.

关 键 词：piecewise constant arguments time delay flip bifurcation N-S bifurcation stability 

分 类 号：O175[理学—数学]