Abstract
A discrete predator-prey system with square root functional response is presented. We study the existence and local stability analysis of the system. The conditions of existence of flip and Niemark-Sacker bifurcations in the system are derived. Furthermore, the chaotic behavior of the system in the sense of Marotto is proved. Numerical simulations are performed to show the consistence with analytical results and also to exhibit the complexity of the system. Finally, chaos control in the system is achieved via OGY feedback control method.
| Original language | English |
|---|---|
| Pages (from-to) | 20-31 |
| Number of pages | 12 |
| Journal | Chaos, Solitons and Fractals |
| Volume | 93 |
| DOIs | |
| State | Published - 1 Dec 2016 |
| Externally published | Yes |
UN SDGs
This output contributes to the following UN Sustainable Development Goals (SDGs)
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SDG 15 Life on Land
Keywords
- Bifurcation
- Chaos
- Fixed points
- Functional response
- Local stability
- OGY control
- Predator prey
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