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

Suiming SHANG; Yu TIAN; Yajing ZHANG

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

Acta mathematica scientia, Series B >

2017 , Vol. 37 >Issue 6: 1705 - 1726

DOI: https://doi.org/10.1016/S0252-9602(17)30102-9

Articles

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

Suiming SHANG ,
Yu TIAN ,
Yajing ZHANG

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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

Received date: 2016-07-14

Revised date: 2016-10-29

Online published: 2017-12-25

Supported by

This work was supported by Beijing Higher Education Young Elite Teacher (YETP0458).

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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

Cite this article

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 . DOI: 10.1016/S0252-9602(17)30102-9

References

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