| Volume 14, Number 6, 2024, Pages - DOI：10.11948/JAAC-2024-0028 |
| BIFURCATION ANALYSIS AND CHAOS OF A MODIFIED HOLLING-TANNER MODEL WITH DISCRETE TIME |
| Qingkai Xu,Chunrui Zhang |
| Keywords:Holling-Tanner model, Flip bifurcation, Hopf bifurcation, Chaos |
| Abstract: |
| In this paper, we consider a classical Holling-Tanner model with discrete time. The dynamical behavior of the model is given by using both theoretical analysis and numerical simulation. We use the central manifold theorem and bifurcation theory to demonstrate that the system will undergo Hopf bifurcation and Flip bifurcation at the positive equilibrium point. By using Lyapunov exponent, we show that the system can undergo the path from stability to Flip(Hopf) bifurcation to chaos, and then we verify the correctness of the theoretical results via numerical simulations. |
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