基于一般的布拉姆森动态,以及密度依赖的扩散和引向的入侵性入侵物种相互作用的建模
José Luis Díaz Palencia1,2, Abraham Otero1
1Department of Information Technology, Escuela Politecnica Superior, Universidad San Pablo-CEU, CEU Universities, Campus Monteprincipe, Boadilla del Monte, Madrid 28668, Spain.
Mathematical biosciences and engineering : MBE
|July 28, 2023
概括
这项研究使用非线性扩散和向导来模拟双向入侵动态. 不同的移动波速导致不稳定,而类似的低速度促进物种相互作用的稳定.
科学领域:
- 数学生物学 数学生物学
- 生态生态学 生态生态学
- 非线性动力学是一种非线性动力学.
背景情况:
- 在生态建模中,侵入性-入侵性动态是至关重要的.
- 之前的模型往往简化了扩散和向导过程.
- 了解物种相互作用的稳定性是预测生态结果的关键.
研究的目的:
- 介绍一种新的数学模型,用于对对入侵相互作用.
- 将密度依赖的扩散和向导纳入入入侵动态.
- 根据它们的传播速度分析相互作用物种的稳定性.
主要方法:
- 根据布拉姆森的工作 (1988) 开发了一个新的数学模型.
- 分析了解决方案规律性,存在和独特性的模型.
- 采用分析方法来研究传播前线进化.
- 使用移动波形状进行了数值评估.
主要成果:
- 密度依赖的扩散运营商创建有限速度的传播前线.
- 模型的解决方案被严格分析.
- 移动波速显著影响相互作用稳定性.
- 显著不同的速度会导致不稳定;相似的低速度会导致稳定.
结论:
- 开发的模型为复杂的入侵动态提供了洞察力.
- 传播速度是决定相互作用物种稳定的关键因素.
- 这些发现对预测入侵物种的成功和影响有意义.
相关概念视频
Physiological Pharmacokinetic Models: Blood Flow-Limited Versus Diffusion-Limited Models
116
Physiological pharmacokinetic models, often called flow-limited or perfusion models, typically assume a swift drug distribution between tissue and venous blood, creating a rapid drug equilibrium. This premise is based on the idea that drug diffusion is extremely fast, and the cell membrane presents no barrier to drug permeation. In this scenario, where no drug binding occurs, the drug concentration in the tissue equals that of the venous blood leaving the tissue. This greatly simplifies the...
116
Mechanistic Models: Compartment Models in Individual and Population Analysis
64
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...
64
Speciation Rates
21.3K
Overview
21.3K
Passive Diffusion: Overview and Kinetics
547
Passive diffusion is a critical process that allows small lipophilic drugs to cross the cell membrane along a concentration gradient. This mechanism's efficiency depends on four primary factors: the membrane's surface area, the drug's lipid-water partition coefficient, the concentration gradient, and the membrane's thickness.
When administered orally, drugs establish a substantial concentration gradient between the gastrointestinal (GI) lumen and the bloodstream, expediting...
When administered orally, drugs establish a substantial concentration gradient between the gastrointestinal (GI) lumen and the bloodstream, expediting...
547
Gene Flow
35.2K
Gene flow is the transfer of genes among populations, resulting from either the dispersal of gametes or from the migration of individuals.
35.2K
Multicompartment Models: Overview
182
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,...
182


