Keeping in mind the interactions between budmoths and the quality of larch trees located in the Swiss Alps (a mountain range in Switzerland), a discrete-time model is proposed and studied. The novel model is proposed with implementation of a nonlinear functional response that incorporates plant quality. The proposed functional response is validated with real observed data of larch budmoth interactions. Furthermore, we investigate the qualitative behavior of the proposed discrete-time system with interactions between budmoths and the quality of larch trees. Proofs of the boundedness of solutions, and the existence of fixed points and their topological classification are carried out. It is proved that the system experiences period-doubling bifurcation at its positive fixed point using the center manifold theorem and normal forms theory. Moreover, existence and direction for the torus bifurcation are also investigated for larch budmoth interactions. Bifurcating and fluctuating behaviors of the system are controlled through utilization of chaos control strategies. Numerical simulations are presented to demonstrate the theoretical findings. At the end, theoretical investigations are validated with field and experimental data.

考虑到芽蛾与位于瑞士阿尔卑斯山（瑞士的一个山脉）的落叶松树质量之间的相互作用，提出并研究了一个离散时间模型。提出了新模型，并实施了包含工厂质量的非线性函数响应。所提出的功能反应通过落叶松蛾相互作用的真实观察数据进行了验证。此外，我们研究了所提出的离散时间系统的定性行为，其中包括天蛾与落叶松树的质量之间的相互作用。证明了解的有界性、不动点的存在性及其拓扑分类。利用中心流形定理和范式理论证明了系统在其正不动点处经历倍周期分岔。而且，还研究了落叶松天蛾相互作用的环面分叉的存在和方向。通过利用混沌控制策略来控制系统的分叉和波动行为。给出了数值模拟来证明理论发现。最后，理论研究得到了现场和实验数据的验证。