论文标题
螨虫蜂蜜蜜蜂菌落的Varroa螨控制方法的数学分析和评估
A Mathematical Analysis and Evaluation of Varroa mite Control Methods for a Mite-infested Honey bee Colony
论文作者
论文摘要
在本文中，我们提出了一个数学模型，用于蜜蜂和螨虫之间的相互作用。研究了螨虫感染的蜂蜜菌落的动力学以及对常用的螨虫控制策略（传统，机械和化学）的评估。无螨和螨虫的繁殖数是使用下一代操作员方法得出的。该模型的数学分析表明，在没有螨虫的情况下，如果无螨的繁殖数量大于统一，则菌落将生存。该模型的稳定性和灵敏度分析表明，女王蜜蜂的卵产率是调节螨虫繁殖的关键。成人蜜蜂的修饰和工人蜜蜂的卫生行为也已被证明在减少寄生虫中起着至关重要的作用。使用Volterra-Lyapunov稳定矩阵方法，当无螨的繁殖数大于统一时，螨虫感染的平衡在全球渐近稳定，并且螨虫的繁殖数大于统一。还表明，与旨在杀死螨虫的人相比，瓦罗螨的控制策略限制了限制螨虫的生产，例如笼子笼子和使用年轻的女王蜜蜂，迅速将螨虫的繁殖数量降低到一个小于统一的价值。
In this paper, we present a mathematical model for the interaction between honey bees and mites. The dynamics of a mite-infested honey bee colony and the evaluation of the commonly used mite-control strategies (traditional, mechanical and chemical) are studied. The mite-free and mite reproduction numbers are derived using the next generation operator approach. The mathematical analysis of the model reveals that in the absence of mites, the colony survives if the mite-free reproduction number is greater than unity otherwise it goes extinct. Stability and sensitivity analyses of the model reveal that the egg laying rate of the queen bee is key in regulating mite reproduction. Adult bee grooming and hygienic behavior of worker bees have also been shown to play a vital role in reducing parasitism. Using the Volterra-Lyapunov stable matrix approach, the mite-infested equilibrium is confirmed to be globally asymptotically stable when the mite-free reproduction number is greater than unity and the mite reproduction number is greater than unity. It is also shown that varroa mite control strategies that focus on limiting mite-reproduction such as caging the queen bee and using a young queen bee quickly reduces the mite reproduction number to a value less than unity compared to those that are intended to kill the mites.
