In this article, a modification is proposed for the classical Nicholson–Bailey model. It is assumed that the modified model follows all axioms of Nicholson–Bailey model except that in every generation a fraction of the hosts have a safe refuge from attack of parasitoids. It is investigated that under this assumption the modified model has stable coexistence. Furthermore, Neimark–Sacker bifurcation is interrogated at positive steady-state of modified model by implementing the normal forms theory of bifurcation. Chaos control methods based on perturbation of parameter and state feedback strategy are implemented to escape the trajectories from bifurcating and chaotic behavior. Furthermore, numerical simulations are carried out for illustration of theoretical discussion. Finally, all theoretical discussion is illustrated by taking into account real observed field data of host–parasitoid interaction.

在本文中，建议对经典的 Nicholson-Bailey 模型进行修改。假设修改后的模型遵循 Nicholson-Bailey 模型的所有公理，除了在每一代中，一小部分宿主都有一个安全的避难所，免受寄生蜂的攻击。研究表明，在此假设下，修改后的模型具有稳定的共存性。此外，通过实施分岔的范式理论，在修正模型的正稳态下询问 Neimark-Sacker 分岔。实现了基于参数扰动和状态反馈策略的混沌控制方法，以摆脱分叉和混沌行为的轨迹。此外，还进行了数值模拟以说明理论讨论。最后，