植物-传粉者-寄生虫相互作用的复杂动力学:兼性与专性行为和新的分支。

IF 2.3 4区 数学 Q2 BIOLOGY
Tao Feng, Hao Wang
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引用次数: 0

摘要

了解植物与传粉者相互作用的动态对维持生态系统的稳定性和生物多样性至关重要。本文建立了一个新的植物-传粉者-寄生虫三方模型,该模型考虑了寄生虫对共生关系的影响。我们的模型由植物-传粉者子系统组成,该子系统具有多达四个双稳态的平衡动力学;传粉者-寄生虫子系统,其稳定性受传粉者密度和生长速率的显著影响;完整的系统结合了这三个物种。我们对子系统和整个系统进行了全面的数学和分岔分析。我们有许多有趣的发现,包括:(1)植物-传粉者-寄生虫相互作用依赖于植物和传粉者的特性(即兼性或专性相互作用)。例如,有兼性传粉者的系统更有可能表现出多稳定性和周期性振荡,从而增强恢复力,而有专性传粉者的系统更有可能导致系统崩溃。(2)寄生虫死亡率和转化率等关键参数可以驱动复杂的行为,包括超临界和亚临界Hopf分岔、鞍节点分岔、混沌和异斜轨道。值得注意的是,我们引入了三个新概念-左弓,右弓和波弓现象-来表征由参数分岔引起的振荡幅度的变化。这些重要结果为考虑植物、传粉媒介和寄生虫之间复杂的相互作用,提高生态系统恢复力和稳定性的生态管理策略提供了理论指导。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Complex dynamics in plant-pollinator-parasite interactions: facultative versus obligate behaviors and novel bifurcations.

Understanding the dynamics of plant-pollinator interactions is crucial for maintaining ecosystem stability and biodiversity. In this paper, we formulate a novel tripartite plant-pollinator-parasite model that incorporates the influence of parasites on mutualistic relationships. Our model consists of the plant-pollinator subsystem, which exhibits equilibrium dynamics with up to four bistable states; the pollinator-parasite subsystem, where stability is significantly affected by pollinator density and growth rate; and the complete system combining all three species. We perform comprehensive mathematical and bifurcation analyses on both the subsystems and the full system. We have many interesting findings, including that (1) plant-pollinator-parasite interactions are dependent on the properties of plants and pollinators (i.e., facultative or obligate interactions). For example, systems with facultative pollinators are more likely to exhibit multistability and periodic oscillations, thereby enhancing resilience, whereas scenarios with obligate pollinators are more likely to lead to system collapse. (2) Critical parameters such as parasite mortality and conversion rates can drive complex behaviors, including supercritical and subcritical Hopf bifurcations, saddle-node bifurcations, chaos, and heteroclinic orbits. Notably, we introduce three new concepts-the left bow, right bow, and wave bow phenomena-to characterize variations in oscillation amplitude resulting from parameter bifurcations. These important results provide theoretical guidance for ecological management strategies aimed at enhancing ecosystem resilience and stability by considering the complex interactions among plants, pollinators, and parasites.

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来源期刊
CiteScore
3.30
自引率
5.30%
发文量
120
审稿时长
6 months
期刊介绍: The Journal of Mathematical Biology focuses on mathematical biology - work that uses mathematical approaches to gain biological understanding or explain biological phenomena. Areas of biology covered include, but are not restricted to, cell biology, physiology, development, neurobiology, genetics and population genetics, population biology, ecology, behavioural biology, evolution, epidemiology, immunology, molecular biology, biofluids, DNA and protein structure and function. All mathematical approaches including computational and visualization approaches are appropriate.
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