Flip and N-S bifurcation behavior of a predator-prey model with piecewise constant arguments and time delay
| Autor: | Yu Tian, Suiming Shang, Yajing Zhang |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Period-doubling bifurcation
General Mathematics 010102 general mathematics General Physics and Astronomy Saddle-node bifurcation Bifurcation diagram 01 natural sciences 010101 applied mathematics Bifurcation theory Transcritical bifurcation Control theory Piecewise Applied mathematics 0101 mathematics Infinite-period bifurcation Bifurcation Mathematics |
| Zdroj: | Acta Mathematica Scientia. 37:1705-1726 |
| ISSN: | 0252-9602 |
| DOI: | 10.1016/s0252-9602(17)30102-9 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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