在多补丁物流模型中的非线性扩散
Bilel Elbetch1, Ali Moussaoui2
1Department of Mathematics, University Dr. Moulay Tahar of Saida, Saida, Algeria.
Journal of mathematical biology
|June 6, 2023
概括
这项研究分析了人口动态在一个多补丁模型与非线性迁移. 它揭示了移民如何影响承载能力和总人口规模,影响生态战略.
科学领域:
- 数学生物学 数学生物学
- 理论生态学理论生态学
- 人口动态 人口动态
背景情况:
- 在空间结构环境中研究人口动态对于理解生态过程至关重要.
- 非线性迁移模式可以显著改变人口分布和稳定性.
- 后勤增长是人口自我限制的一个基本模型.
研究的目的:
- 分析具有非线性不对称迁移的多贴片人口模型.
- 确定拟议的生态模型的全球稳定性.
- 了解移民和分裂如何影响总人口规模和承载能力.
主要方法:
- 使用合作差分系统理论.
- 分析一个多补丁模型,每个补丁上的物流增长.
- 调查完美混合 (无限迁移速率) 的极限情况.
主要成果:
- 多补丁模型的全球稳定性得到了证明.
- 在完美的混合中,总人口遵循一个后勤规律,具有修改后的承载能力.
- 建立了分裂和非线性迁移的条件,以增加或减少总人口大小相对于承载能力的总和.
结论:
- 非线性不对称迁移显著影响人口动态和承载能力.
- 碎片化和迁移可以被操纵来改变总人口规模.
- 对于双补丁系统,非线性分散对承载能力的益处或损害可以根据模型参数进行分类.
相关概念视频
Physiological Pharmacokinetic Models: Blood Flow-Limited Versus Diffusion-Limited Models
119
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...
119
Protein Diffusion in the Membrane
4.4K
Proteins show rotational as well as lateral diffusion across the membrane. The lateral diffusion of proteins was confirmed through the cell fusion experiment where mouse and human cells were fused, resulting in hybrid cells. When the human and mouse cells fused, the specific membrane proteins on human and mouse cells were marked with the red and green-fluorescent markers, respectively. Initially, the red and green fluorescence was located on the respective hemisphere of the cell. As time...
4.4K
Passive Diffusion: Overview and Kinetics
562
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...
562
Diffusion
194.1K
Diffusion is the passive movement of substances down their concentration gradients—requiring no expenditure of cellular energy. Substances, such as molecules or ions, diffuse from an area of high concentration to an area of low concentration in the cytosol or across membranes. Eventually, the concentration will even out, with the substance moving randomly but causing no net change in concentration. Such a state is called dynamic equilibrium, which is essential for maintaining overall...
194.1K
Three-Compartment Open Model
294
The three-compartment open model is a pharmacokinetic model used to describe the distribution and elimination of drugs following extravascular administration. It comprises a central compartment representing the plasma and two peripheral compartments. The highly perfused peripheral compartment represents organs and tissues with a rich blood supply, such as the liver, kidneys, and lungs. The scarcely perfused peripheral compartment represents tissues with lower blood supply, such as adipose...
294
Compartment Models: Two-Compartment Model
5.7K
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...
5.7K


