Mathematical Modeling of Honeybee Populations in Heterogeneous Environments: Linking Disease, Parasite, Nutrition, and Behavior

异质环境中蜜蜂种群的数学模型：将疾病、寄生虫、营养和行为联系起来

• 批准号: 1716802
• 负责人: Yun Kang
• 金额: $ 29.04万
• 依托单位: Arizona State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2017
• 资助国家: 美国
• 起止时间: 2017-09-01 至 2023-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1716802&HistoricalAwards=false
• 关键词: Mathematical; Modeling; Honeybee; Populations; Heterogeneous

The honeybee, Apis mellifera, is not only crucial in maintaining biodiversity by pollinating 85% of plant species but also is the most economically valuable pollinator of agricultural crops worldwide with value between $15 and $20 billion annually as commercial pollinators in the U.S. Unfortunately, the recent sharp declines in honeybee population have been considered a global crisis. The primary cause of colony losses is the parasitic Varroa mites (Varroa destructor Anderson and Trueman). The study to unfold the mystery of the dramatic decline in honeybee populations and for developing control strategies for Varroa that reduce colony losses presents both challenges and opportunities for research and education. This research lives at the intersection of epidemiology, life sciences and applied mathematics, which enables the investigators to develop a template integrating interdisciplinary learning for students through shared research projects at the undergraduate and/or graduate level. The modeling framework provides not only a powerful system for examining multifactorial impacts on the honeybee colony system but also a great opportunity to explore how behavior, epidemiology and nutritional ecology coevolve within complex systems in general. This research can provide a basis for new strategies for controlling Varroa and reducing colony losses for beekeepers, and benefit land managers. The methods and results will be disseminated through online video lectures and in-person workshops that can be made available to the scientific community. Summer research projects will be provided to undergraduate students, especially underrepresented minority students, with a first-hand research experience.This collaborative research between Arizona State University and Carl Hayden Bee Research Center fosters a culture of theory-experiment collaboration with aims to develop realistic and mathematically tractable models that will be validated and parameterized via using field data. The interdisciplinary collaboration will enable the investigators to study the integrated effects of disease, parasitism, nutrition and behavior in changing environments and the effects on honeybee colony mortality across multiscale in time and space. Rigorous mathematics will be integrated with extensive field and lab data to investigate: 1. How parasite migration into colonies via foragers from other hives located at different landscape structures could affect the honeybee-parasite population dynamics with stage structures. 2. How the honeybee-parasite-virus interactions with the honeybee foraging behavior in seasonal environments cause colony losses. 3. How the crucial feedback mechanisms linking disease, parasitism, nutrient and honeybee foraging behavior might be responsible for the colony growth dynamics and survival in a dynamical environment with multilevel spatial components. Nonlinear nonautonomous differential equations within metapopulation frameworks and individual based models will be used to model the honeybee population with spatial scales ranging from the individual, the colony, to the regional level and timescale spanning from seconds, days, to months.

Honeybee Apis Mellifera不仅对于维持生物多样性至关重要，通过汇集了85％的植物物种，而且是全球最有价值的农作物的最有价值的农作物授粉媒介，价值每年15至200亿美元在美国，不幸的是，在美国最近的商业授粉机构，最近在蜜蜂中急剧下降了蜜蜂，这是蜜蜂的全球crisis crisis。菌落损失的主要原因是寄生虫螨（Varroa Destructor Anderson和Trueman）。这项研究旨在展现蜜蜂种群急剧下降的奥秘以及为减少殖民地损失的Varroa制定控制策略的研究带来了研究和教育的挑战和机会。这项研究生活在流行病学，生命科学和应用数学的交集中，这使研究人员能够通过本科和/或研究生层面的共享研究项目开发一个模板，以整合学生的跨学科学习。该建模框架不仅提供了一个强大的系统，用于检查对蜜蜂菌落系统的多因素影响，而且还提供了一个很好的机会，可以探索一般复杂系统中的行为，流行病学和营养生态学如何共同发展。这项研究可以为控制Varroa和减少养蜂人的殖民地损失并使土地经理的新策略提供基础。这些方法和结果将通过在线视频讲座和可以为科学界提供的在线视频讲座和面对面的研讨会来传播。夏季研究项目将提供给本科生，尤其是代表性不足的少数群体学生，并具有第一手研究经验。亚利桑那州立大学和卡尔·海登·贝·贝·比恩研究中心之间的合作研究培养了一种理论 - 经验合作的文化，其目的是通过使用现场数据来验证和数学上易于验证和数学上可触犯的模型。跨学科的合作将使研究人员能够研究不断变化的环境中疾病，寄生虫，营养和行为的综合作用，以及对时间和空间中多尺度跨性别的蜜蜂菌落死亡率的影响。严格的数学将与广泛的领域和实验室数据集成以进行研究：1。寄生虫如何通过来自不同景观结构的其他蜂箱的觅食者迁移到殖民地，这可能会影响Honeybee-寄生虫种群动力学的阶段结构。 2。蜜蜂 - 寄生虫病毒与季节性环境中蜜蜂觅食行为的相互作用如何导致群落损失。 3。如何将疾病，寄生虫，营养和蜜蜂觅食行为联系起来的关键反馈机制可能导致具有多层次空间成分的动态环境中的菌落生长动态和生存。在群体框架和基于单个模型中的非线性非自主微分方程将用于模拟蜜蜂种群的空间尺度，从个体，菌落到区域水平，从几秒钟，天到几个月跨越区域水平和时间表。

项目成果

Cancer as Multifaceted Disease

癌症是多方面的疾病

• DOI: 10.1051/mmnp/20127102
• 发表时间: 2012
• 期刊: Mathematical Modelling of Natural Phenomena
• 影响因子: 2.2
• 作者: Friedman, A.

Can supplementary pollen feeding reduce varroa mite and virus levels and improve honey bee colony survival?

• DOI: 10.1007/s10493-020-00562-7
• 发表时间: 2020-12
• 期刊: Experimental & applied acarology
• 影响因子: 2.2
• 作者: DeGrandi-Hoffman G;Corby-Harris V;Chen Y;Graham H;Chambers M;Watkins deJong E;Ziolkowski N;Kang Y;Gage S;Deeter M;Simone-Finstrom M;de Guzman L
• 通讯作者: de Guzman L

A predator–prey model with Crowley–Martin functional response: A nonautonomous study

• DOI: 10.1111/nrm.12287
• 发表时间: 2020-10
• 期刊: Natural Resource Modeling
• 影响因子: 1.6
• 作者: Jai Prakash Tripathi;Sarita Bugalia;Vandana Tiwari;Yun Kang

Nutritional regulation influencing colony dynamics and task allocations in social insect colonies

影响群居昆虫群落动态和任务分配的营养调节

• DOI: 10.1080/17513758.2020.1786859
• 发表时间: 2020
• 期刊: Journal of Biological Dynamics
• 影响因子: 2.8
• 作者: Rao, Feng;Rodriguez Messan, Marisabel;Marquez, Angelica;Smith, Nathan;Kang, Yun
• 通讯作者: Kang, Yun

Dynamical Behavior of a Colony Migration System: Do Colony Size and Quorum Threshold Affect Collective Decision?

群体迁移系统的动态行为：群体规模和群体阈值会影响集体决策吗？

• DOI: 10.1137/22m1478690
• 发表时间: 2023
• 期刊: SIAM Journal on Applied Mathematics
• 影响因子: 1.9
• 作者: Wang, Lisha;Qiu, Zhipeng;Sasaki, Takao;Kang, Yun
• 通讯作者: Kang, Yun