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

doi:10.1016/S0252-9602(17)30102-9

Abstract

Abstract:

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.

Key words: piecewise constant arguments, time delay, flip bifurcation, N-S bifurcation, stability

Suiming SHANG, Yu TIAN, Yajing ZHANG. FLIP AND N-S BIFURCATION BEHAVIOR OF A PREDATOR-PREY MODEL WITH PIECEWISE CONSTANT ARGUMENTS AND TIME DELAY[J].Acta mathematica scientia,Series B, 2017, 37(6): 1705-1726.

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