研究了一类利用天敌来控制害虫进行农作物病虫害防治的动力学模型。在充分考虑释放天敌后持续发挥作用阶段害虫密度的变化动态，以及天敌被捕杀后与首次释放天敌前内禀增长率差异的基础上，建立了害虫治理模型并给出了模型的周期解，从而确定释放天敌的周期，为合理释放天敌进行农作物害虫治理提供理论依据。建立的数学模型，具有易求解和易使用的特点，对实际观测数据的拟合结果表明，该模型具有可靠性和实用性的特点。%Dynamics analysis of a class of mathematical models to control pests of crop using natural enemies are studied.Based on the full consideration of the role of sustained release of natural enemies and the differences in intrinsic growth rate after the enemies is killed and before the natural enemies are firstly released,the differential equation models are established,and the periodic solutions of the models are given,thus the cycle of periodic spray is established to provide the theoretical basis for reasonable release of natural enemies for pest management of crops. The model established are easy to solve and use,the actual observed data fitting results show that the model is reliable and practical features.
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