Abstract
In this work, we study the dynamical behaviors of fractional-order Lotka–Volterra predator–prey system and its discretized counterpart. It is shown that the discretized system exhibits much richer dynamical behaviors than its corresponding fractional-order form; in the discretized system, many types of bifurcations (transcritical, flip, Neimark–Sacker) and chaos are obtained however the dynamics of fractional-order counterpart is included only stable (unstable) equilibria. Numerical simulations are used to verify the correctness of the analytical results.
| Original language | English |
|---|---|
| Pages (from-to) | 269-283 |
| Number of pages | 15 |
| Journal | Journal of Applied Mathematics and Computing |
| Volume | 49 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - 9 Oct 2015 |
| Externally published | Yes |
Keywords
- Bifurcations
- Chaos
- Discretization
- Fractional-order
- Lotka–Volterra predator–prey system
