研究一种营养浮游生物模型,具有随机波动和冲动控制
Xin Zhao1, Lijun Wang2, Pankaj Kumar Tiwari3
1College of Life and Environmental Science, Wenzhou University, Wenzhou 325035, China.
Mathematical biosciences and engineering : MBE
|September 7, 2023
概括
营养浮游生物模型中的冲动控制可以防止灭绝,促进物种的共存. 营养脉冲对植物浮游生物比动物浮游生物的脉冲更为关键,但过度的噪音会导致生态系统崩.
科学领域:
- 生态生态学 生态生态学
- 数学生物学 数学生物学
- 环境科学 环境科学
背景情况:
- 浮游生物的动态对于海洋生态系统至关重要.
- 随机模型对于理解环境变化是必不可少的.
- 冲动控制提供了一种管理人口的方法.
研究的目的:
- 为了研究具有冲动控制的随机营养-浮游生物模型.
- 分析营养和动物浮游生物控制对人口动态的影响.
- 为了确定稳定的周期性振荡和物种共存的条件.
主要方法:
- 对模型的分析调查.
- 对非负数种群大小的条件的推导.
- 为稳定的周期性振荡提供足够条件的推导.
- 数字模拟用于观察人口过渡和控制的影响.
主要成果:
- 在长时间内,人口规模保持非负值.
- 稳定的周期性振荡表明可以预测的浮游生物行为.
- 冲动控制导致从灭绝到物种共存的过渡.
- 营养脉冲对植物浮游生物的影响比动物浮游生物脉冲更大.
- 适当的控制频率和环境波动促进共存,而过度的噪音导致生态系统崩.
结论:
- 冲动控制可以稳定浮游生物种群,促进共存.
- 营养素的可用性是植物浮游生物生长的关键驱动力.
- 生态系统的弹性对环境噪声的强度很敏感.
相关概念视频
Parameters Affecting Nonlinear Elimination: Zero-Order Input, First-Order Absorption and Two-Compartment Model
87
Drugs administered through various routes can lead to nonlinear elimination, resulting in complex pharmacokinetic behaviors crucial to understanding efficacious drug dosing.
When a drug is administered through a constant intravenous infusion and eliminated via nonlinear pharmacokinetics, it follows zero-order input. For example, oral drugs undergo first-order absorption upon administration and are eliminated through nonlinear pharmacokinetics.
In the case of subcutaneously administered drugs,...
When a drug is administered through a constant intravenous infusion and eliminated via nonlinear pharmacokinetics, it follows zero-order input. For example, oral drugs undergo first-order absorption upon administration and are eliminated through nonlinear pharmacokinetics.
In the case of subcutaneously administered drugs,...
87
Time-Domain Interpretation of PD Control
137
Proportional-Derivative (PD) control is a widely used control method in various engineering systems to enhance stability and performance. In a system with only proportional control, common issues include high maximum overshoot and oscillation, observed in both the error signal and its rate of change. This behavior can be divided into three distinct phases: initial overshoot, subsequent undershoot, and gradual stabilization.
Consider the example of control of motor torque. Initially, a positive...
Consider the example of control of motor torque. Initially, a positive...
137
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving
79
Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
79
Methods for Controlling Microbial Growth
66
Microbial growth control refers to various methods employed to inhibit, reduce, or eliminate microorganisms to ensure safety and hygiene across different settings. These methods are categorized based on the target environment and the level of microbial control required.Biocides are versatile agents designed to control microorganisms by either inhibiting their growth or outright killing them. These agents work through various physical, chemical, mechanical, or biological mechanisms. The...
66


