報告題目：Modeling the Interaction Dynamics between Honeybees and Food Availability（蜜蜂和食物可利用性之間相互作用的動力學建模）
報告時間：2017年5月13日上午9:30-10:30
報告地點🧝🔝：必一体育平台二樓會議室
報告人：宋保軍⏬👈🏼，博士，美國蒙特克萊爾（Montclair）州立大學教授。研究方向為生物數學、動力系統等🧛♀️。在種群生態與流行病的動力學建模和研究方面做了系列富有影響的研究工作🧚🏽♂️。現任International Journal of Computational Mathematics（IJCM）副主編。
報告摘要：The success of honeybee (Apis mellifera) colonies is critical to the United States agriculture with 35% of American diets dependent on honeybee pollination. There are various complex factors that can contribute to a colony’s failure, such as nutritional stress. Nutritional stressors primarily pertain to food scarcity, lack in diversity of food, and the availability of food with low nutritional value. In this work, we use mathematical models to investigate the impact of food scarcity and limited storage space on honeybee viability, early recruitment rates of workers into foragers, and the influence of these rates on the growth of a colony. Social inhibition of honeybee pollination is described through the role change between foragers and workers. A threshold was found for conditions when a colony persists or collapses. We obtained conditions for the coexistence of a honeybee population and food supply as well as coexistence conditions in fluctuation fashion. Our sensitivity analysis showed that a honeybee colony is most sensitive to changes in the rate at which a worker bee encounters food and the rate food is entering the food supply. Collapse of honeybee colony is explained as a result of random impact when the bee population at the lower level of a period. However, as the Allee effect was introduced into the model, the dynamical behaviors generated from the model are richer and richer. The collapse of colony would be also an outcome of overuse of food by the bee population even without incorporating a random factor.