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Hybrid control of Hopf bifurcation in a Lotka-Volterra predator-prey model with two delays
| Content Provider | Semantic Scholar |
|---|---|
| Author | Peng, Miao Zhang, Zhengdi Wang, Xuedi |
| Copyright Year | 2017 |
| Abstract | In this paper, the Hopf bifurcation control for a Lotka-Volterra predator-prey model with two delays is studied by using a hybrid control strategy. By analyzing the associated characteristic equation, its local stability and the existence of Hopf bifurcation with respect to both delays are established. In addition, the onset of an inherent bifurcation is delayed. Based on the normal form theory and the center manifold theorem, explicit formulas are derived to determine the direction of Hopf bifurcation and stability of the bifurcating periodic solution. Numerical simulation results confirm that the hybrid controller is efficient in controlling Hopf bifurcation. |
| Starting Page | 1 |
| Ending Page | 20 |
| Page Count | 20 |
| File Format | PDF HTM / HTML |
| Volume Number | 2017 |
| Alternate Webpage(s) | https://advancesindifferenceequations.springeropen.com/track/pdf/10.1186/s13662-017-1434-5?site=advancesindifferenceequations.springeropen.com |
| Alternate Webpage(s) | https://doi.org/10.1186/s13662-017-1434-5 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
