The honeybee has a significant impact on industry and nature. In recent years, a mysterious disease make honeybees die, often losses reach 80–100% of the apiaries. The causal syndrome of such massive die-off is called Colony Collapse Disorder. The model adopted in the paper is constituted by a system of three ordinary differential equations that account for the change in time of the population size of the hive bees, forage workers and infected foragers. It models the condition as a contagion, transmitted by both bee-to-bee and bee-to-plant interaction. What is more, it supports both healthy and unhealthy population dynamics. We solve a parameter identification inverse problem to reconstruct the values, which are directly unobservable but vital in honeybee management. We apply an adjoint equation optimization approach to solve this inverse problem. Numerical analysis confirms the results obtained theoretically.

蜜蜂对工业和自然产生重大影响。近年来，一种神秘的疾病使蜜蜂死亡，往往损失达到80-100%的养蜂场。这种大规模死亡的因果综合症被称为菌落崩溃症。论文中采用的模型由三个常微分方程组成，这些方程解释了蜂群、牧草工人和受感染的觅食者的种群规模随时间的变化。它将这种情况建模为一种传染病，通过蜜蜂对蜜蜂和蜜蜂对植物的相互作用传播。更重要的是，它支持健康和不健康的人口动态。我们解决了一个参数识别逆问题来重建这些值，这些值在蜜蜂管理中是直接不可观察但至关重要的。我们应用伴随方程优化方法来解决这个逆问题。