一个返回家园的模型,人们和工人通勤
Pierre Magal1,2,3
1Department of Mathematics, Faculty of Arts and Sciences, Beijing Normal University, Zhuhai, 519087, China. pierre.magal@u-bordeaux.fr.
Journal of mathematical biology
|December 8, 2023
概括
这项研究引入了人类城市内移动的新型模型,将通勤模式和家庭密度整合在一起. 数字模拟证明了模型的模型.
科学领域:
- 数学建模的数学建模
- 城市动态 城市动态
- 人类移动模式 人类移动模式
背景情况:
- 了解人类流动性对于城市规划和资源分配至关重要.
- 现有的模型往往简化了日常通勤和人口分布的复杂性.
- 之前的工作为纳入人口密度和流动奠定了基础.
研究的目的:
- 开发一种新的数学模型来描述人类的城市内移动性.
- 扩展以前的模型,包括专门为办公室工作人员的隔间.
- 分析模型的行为并预测长期的人口分布.
主要方法:
- 使用对流-扩散方程来表示通勤运动.
- 整合一个对家庭中个体密度的隔间.
- 应用半群理论来分析模型的数学属性.
主要成果:
- 该模型成功地将通勤动态与家庭人口密度相结合.
- 半群理论证实了模型解决方案的趋同到一个平衡分布.
- 数字模拟可视化模型对城市内人口动态的预测.
结论:
- 拟议的模型提供了一种更全面的方法来理解城市内人类流动.
- 包括一个办公室工作人员的隔间增强了模型的现实主义.
- 该研究为城市环境中平衡人口分布提供了理论框架和数值证据.
相关概念视频
Social Traps
22.3K
Social traps are negative situations where people get caught in a direction or relationship that later proves to be unpleasant, with no easy way to back out of or avoid. The concept was orignally introduced by John Platt who applied psychology to Garrett Hardin's "Tragedy of the Commons", where in New England herd owners could let their cattle graze in the common ground. This situation seems like a good idea, but an individual could have an advantage. If they owned...
22.3K
Compartment Models: Two-Compartment Model
5.5K
The two-compartment model divides the body into central and peripheral compartments to account for varying blood perfusion rates among organs and tissues, affecting drug distribution. The central compartment includes blood and highly perfused tissues with rapid drug distribution, while the peripheral compartment contains tissues with slower drug distribution. After a single IV bolus dose, the drug concentration is high in plasma and low in tissues. The drug distribution between compartments...
5.5K
Multicompartment Models: Overview
148
Multicompartment models are mathematical constructs that depict how drugs are distributed and eliminated within the body. They segment the body into several compartments, symbolizing various physiological or anatomical areas connected through drug transfer processes such as absorption, metabolism, distribution, and elimination.
These models offer a more comprehensive representation of drug behavior in the body than one-compartment models. They accommodate the complexity of drug distribution,...
These models offer a more comprehensive representation of drug behavior in the body than one-compartment models. They accommodate the complexity of drug distribution,...
148
Mechanistic Models: Compartment Models in Individual and Population Analysis
43
Mechanistic models are utilized in individual analysis using single-source data, but imperfections arise due to data collection errors, preventing perfect prediction of observed data. The mathematical equation involves known values (Xi), observed concentrations (Ci), measurement errors (εi), model parameters (ϕj), and the related function (ƒi) for i number of values. Different least-squares metrics quantify differences between predicted and observed values. The ordinary least...
43
Classification of Illness
7.5K
The meaning of illness is individualized to each person who experiences an alteration in health. In contrast, disease is a medical term indicating a pathological change in the structure and function of the body or mind. It is a condition that has specific symptoms and boundaries.
An illness is a response to a disease in which the person's level of functioning is changed compared with a previous level. The general classification of illness includes acute and chronic.
Acute illness is severe...
An illness is a response to a disease in which the person's level of functioning is changed compared with a previous level. The general classification of illness includes acute and chronic.
Acute illness is severe...
7.5K
Compartment Models: Single-Compartment Model
2.3K
The single-compartment model serves as a simplified representation of the human body. This model assumes that the body functions as a single, well-mixed open compartment. When a drug is administered intravenously, it enters the body and quickly distributes uniformly. The drug then undergoes biotransformation and elimination, ultimately leaving the body. The volume of this compartment is referred to as the apparent volume of distribution into which the drug can uniformly distribute. In this...
2.3K


