A new multistage dynamic model for biological control exemplified by the host–parasitoid system Spodoptera exigua–Chelonus oculator

Over the last few decades, important advances have been made in our understanding of host-parasitoid relations and their applications to biological pest control. Not only has the number of agent species increased, but new manipulation techniques for natural enemies have also been empirically introduced, particularly in greenhouse crops. This makes biocontrol more complex, requiring a new mathematical modelling approach appropriate for the optimization of the release of agents. We developed a temperature- and stage-dependent dynamic mathematical model of the host-parasitoid system with an improved functional response. The model is appropriate not only for simulation analysis of the efficiency of biocontrol agents, but also for the application of optimal control methodology for the optimal timing of agent releases, and for the consideration of economic implications. Based on both laboratory and greenhouse trials, the model was validated and fitted to the data of Chelonus oculator (F.) (Hy...近数十年来，学界在寄主-寄生蜂（host-parasitoid）关系及其在害虫生物防治中的应用研究领域取得了重要进展。不仅生防因子（biocontrol agents）的物种数量持续增长，针对天敌的新型调控技术也已通过实证得到推广，尤其在温室作物种植体系中。这使得害虫生物防治工作愈发复杂，亟需开发适配于生防因子释放优化调控的新型数学建模方法。本研究构建了一款兼具改进型功能反应（functional response）的温度与虫态依赖型寄主-寄生蜂系统动态数学模型。该模型不仅可用于生防因子防控效能的模拟分析，还可借助最优控制方法确定生防因子释放的最佳时机，并可结合经济影响开展综合评估。基于室内与温室试验数据，本模型已针对眼斑螯蜂 *Chelonus oculator* (F.)（Hy...）的相关数据完成拟合与验证。