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Abstract：
This research paper investigates discrete predator-prey dynamics with two logistic maps. The study extensively examines various aspects of the system\'s behavior. Firstly, it thoroughly investigates the existence and stability of fixed points within the system. We explores the emergence of transcritical bifurcations, period-doubling bifurcations, and Neimark-Sacker bifurcations that arise from coexisting positive fixed points. By employing central bifurcation theory and bifurcation theory techniques. Chaotic behavior is analyzed using Marotto\'s approach. The OGY feedback control method is implemented to control chaos. Theoretical findings are validated through numerical simulations.
摘要：
本文利用两个Logistic映射研究了离散的捕食者-食饵动力学。这项研究广泛考察了系统行为的各个方面。首先,它深入研究了系统内不动点的存在性和稳定性。我们探索了跨临界分叉的出现，周期倍增分叉，和Neimark-Sacker分支，它们来自共存的正固定点。通过采用中心分岔理论和分岔理论技术。使用Marotto方法分析混沌行为。实现了OGY反馈控制方法来控制混沌。通过数值模拟验证了理论发现。
