Population Interactions in Ecology: A Rule-Based Approach to Modeling Ecosystems in a Mass-Conserving Framework
Population Interactions in Ecology: A Rule-Based Approach to Modeling Ecosystems in a Mass-Conserving Framework
复制标题
生态学中的种群相互作用：在质量守恒框架中基于规则的生态系统建模方法
作者：
R. Cropp;J. Norbury
本科数学生物学/生态学教学通常依靠Lotka- Volterra竞争和捕食者-猎物模型向学生介绍种群动态。学生将了解动力系统理论在模拟和理解自然世界行为中的应用，并有机会练习相平面分析技术，如确定平衡点的稳定性和分岔分析。本文概述了一门适合所有生命科学专业学生的生态建模课程。该课程基于现实的生态原则，例如使用营养浓度来测量人口以及明确的资源可用性来限制人口增长，并在此理论框架内考虑简单的Lotka- Volterra系统。这种方法的一个优点是，在实验中广泛观察到的混合营养和共生模型可以自然而简单地…
Mathematical biology/ecology teaching for undergraduates has generally relied on the Lotka--Volterra competition and predator-prey models to introduce students to population dynamics. Students are provided with an understanding of the application of dynamical system theory in simulating and understanding the behavior of the natural world, and they are provided with opportunities to practice phase plane analysis techniques such as determining the stability of equilibrium points and bifurcation analysis. This paper outlines a course in ecological modeling suitable for all students in the life sciences. The course is based on realistic ecological principles, such as using nutrient concentration to measure populations together with explicit resource availability to constrain population growth, and it considers simple Lotka--Volterra systems within this theoretical framework. An advantage of this approach is that the widely experimentally observed models of mixotrophy and mutualism can be naturally and simply ...