Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB, T6G 2G1, Canada.
School of Mathematics and Information Sciences, Guangzhou University, Guangdong, 510006, Guangzhou, People's Republic of China.
J Math Biol. 2024 Nov 2;89(5):57. doi: 10.1007/s00285-024-02158-w.
Understanding how organisms make choices about what to eat is a fascinating puzzle explored in this study, which employs stoichiometric modeling and optimal foraging principles. The research delves into the intricate balance of nutrient intake with foraging strategies, investigating quality and quantity-based food selection through mathematical models. The stoichiometric models in this study, encompassing producers and a grazer, unveils the dynamics of decision-making processes, introducing fixed and variable energetic foraging costs. Analysis reveals cell quota-dependent predation behaviors, elucidating biological phenomena such as "compensatory foraging behaviors" and the "stoichiometric extinction effect". The Marginal Value Theorem quantifies food selection, highlighting the profitability of prey items and emphasizing its role in optimizing foraging strategies in predator-prey dynamics. The environmental factors like light and nutrient availability prove pivotal in shaping optimal foraging strategies, with numerical results from a multi-species model contributing to a comprehensive understanding of the intricate interplay between organisms and their environment.
本研究运用化学计量建模和最优觅食原理，探讨了生物体如何做出进食选择这一引人入胜的谜题。该研究深入探究了营养摄入与觅食策略之间的复杂平衡，通过数学模型研究了基于质量和数量的食物选择。本研究中的化学计量模型涵盖了生产者和食草动物，揭示了决策过程的动态，引入了固定和可变的能量觅食成本。分析揭示了细胞配额依赖的捕食行为，阐明了“补偿性觅食行为”和“化学计量灭绝效应”等生物学现象。边际值定理量化了食物选择，突出了猎物的盈利性，并强调了其在优化捕食者-猎物动态中觅食策略的作用。光照和营养供应等环境因素在塑造最优觅食策略方面起着关键作用，多物种模型的数值结果有助于全面理解生物体及其环境之间错综复杂的相互作用。
