从白昼到黑夜：昼夜活动周期的非局部模型
From daylight to darkness: a nonlocal model of circadian activity cycles
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中文总结 AI 辅助
本研究提出基于偏微分方程的非局部数学模型，整合活动周期与昼夜感知，揭示感官模式和昼长影响聚集强度，并利用博弈论分析捕食者-猎物系统的平衡睡眠策略。
中文摘要 AI 辅助
动物感知周围环境的能力以及它所经历的生态相互作用，都可能受到自身及周围物种睡眠模式的强烈影响。感官能力有限的动物可能在夜间难以在其栖息地中导航，而在捕食者-猎物系统中，当捕食者清醒并狩猎时，猎物处于不活动状态可能是有害的。在此，我们开发了一个通用的数学框架，利用偏微分方程来研究这些相互作用，将活动周期和依赖白昼的感知能力纳入现有的动物运动模型中。我们表明，主导感官模式和昼长是决定社会性物种聚集强度的关键因素。将该框架扩展到两物种捕食者-猎物系统，我们使用博弈论方法表明，每个物种的平衡睡眠策略不仅受其自身感官能力的影响，还受其生态对手感官能力的影响。根据两个物种的感官能力，平衡策略可能由单一睡眠模式或多种睡眠模式的组合构成。
英文摘要
An animal's ability to perceive its surroundings, as well as the ecological interactions it experiences, can be strongly influenced by the sleep patterns of both itself and surrounding species. Animals with limited sensory capabilities may struggle to navigate their habitat at night, while in a predator-prey system, it may be detrimental for prey to be inactive while predators are awake and hunting. Here, we develop a general mathematical framework to study these interactions using partial differential equations, incorporating activity cycles and daylight-dependent perception into existing models of animal movement. We show that both the dominant sensory mode and the length of daylight are key factors determining the strength of aggregation in social species. Extending this framework to a two-species predator-prey system, we use game-theoretic approaches to show that the equilibrium sleep strategy of each species is shaped not only by its own sensory capabilities, but also by those of its ecological opponent. Depending on the sensory capabilities of the two species, equilibrium strategies may consist of a single sleep pattern or a combination of multiple sleep patterns.
发表机构
- University of Alberta（阿尔伯塔大学）
- ENSIMAG, Grenoble INP, Université Grenoble Alpes（格勒诺布尔理工学院 ENSIMAG，格勒诺布尔阿尔卑斯大学）
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