具有Holling Ⅳ型功能反应捕食系统的状态反馈控制
摘要
A class of predator-prey systems with Holling IV functional responses under state feedback control were studied. The sufficient conditions for the existence and stability of semi-trivial solutions and order-1 periodic solutions were obtained by means of the analogue of the Poincare criterion and the geometric theory for semi-continuous dynamical systems. The numerical simulation verifies the correctness of the conclusion and the effectiveness of the state feedback control, and reveals abundant dynamic behaviors of the state feedback control system, such as the fold bifurcation, the flip bifurcation and chaos.
引用本文（GB/T 7714）
王小娥，蔺小林，李建全, WANG Xiaoe, LIN Xiaolin, 等. 具有Holling Ⅳ型功能反应捕食系统的状态反馈控制[J]. 应用数学和力学, 2020.
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