Over the last few decades, important advances have been made in 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 modeling approach appropriate for the optimization of the release of agents. The present paper aimed at filling this gap by the development of 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.) (Hym.: Braconidae) as a biological control agent against the beet armyworm, Spodoptera exigua Hübner (Lep.: Noctuidae). We emphasize that this model can be easily adapted to other interacting species involved in biological or integrated pest control with either parasitoid or predator agents.
Key message• The paper aimed at filling the gap between existing host-parasitoid models and the empirically introduced new manipulation techniques of biocontrol. • The result is a temperature-and stage-dependent dynamic model of the host-parasitoid system, appropriate for simulation analysis and optimization of the release of biocontrol agents • For an illustration, the model is validated and fitted to the data of a concrete host-parasitoid system. • Our model building can be easily adapted to biocontrol by predatory agents.