| Abstract: |
| We study a discrete-time predator-prey system with strong Allee effect derived by the Euler discretization. Stability analysis shows that exceeding a critical predator mortality rate generates two interior equilibria and enables species coexistence. The system undergoes fold, flip, and Neimark-Sacker bifurcations with parameter variations. The strong Allee effect stabilizes the system, while weak Allee effect, high predator growth rate, and intensified environmental protection tend to induce periodic orbits and chaotic attractors, verified by Lyapunov exponents and numerical simulations. |
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