具有脉冲扰动的阶段结构生态进化模型的构建与分析

中文摘要 AI 辅助

受有害生物种群脉冲控制及其进化结果的启发，我们开发并分析了一个经历周期性扰动的n维阶段结构种群的常微分方程模型。该生态进化模型通过生活史信息耦合了生态动力学，以及等位基因频率变化的进化动力学。基于先前在生态进化模型和线性系统理论方面的工作，我们证明如果种群中存在抗性等位基因，种群将始终趋向完全抗性。此外，我们建立了持久性条件，并表明这些条件仅取决于完全抗性时的系统动力学。最后，我们通过应用于斑翅果蝇（一种常定期用杀虫剂处理的入侵物种）来展示该模型的实用性。我们使用参数化模型进一步理解物种的生态与进化特征及其因脉冲扰动导致的抗性进化之间关系的复杂性。

英文摘要

Motivated by the pulsed control and resulting evolution of harmful biological populations, we develop and analyze an ordinary differential equation model of an n-dimensional stage-structured population undergoing periodic disturbances. The eco-evolutionary model couples both ecological dynamics through life cycle information, and evolutionary dynamics of allele frequency changes. Building off prior work in eco-evolutionary models and theory of linear systems, we show that if a resistant allele is present in the population, the population will always approach full resistance. Furthermore, we establish persistence conditions and show that these depend solely on system dynamics at full resistance. Finally, we demonstrate the utility of this model via an application to the Spotted-Winged Drosophila, an invasive species often treated periodically with insecticides. We use a parameterized model to further understand the complexities of relationships between ecological and evolutionary features of a species and its resistance evolution due to pulsed disturbances.

发表机构

• Muhlenberg College（穆伦堡学院）
• Oregon State University（俄勒冈州立大学）

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