对复杂的非线性Covid-19模型的混合NAR-RBF网络进行分析,使用分数运算符
Aqeel Ahmad1, Muhammad Farman2,3, Muhammad Sultan4
1Department of Mathematics, Ghazi University, DG Khan, 32200, Pakistan.
BMC infectious diseases
|September 28, 2024
概括
本研究介绍了混合NAR-RBF网络,以模拟COVID-19跨年龄组的传播. 先进的技术证实了模型的存在.
科学领域:
- 流行病学和数学建模 流行病学和数学建模
- 计算智能是一种计算智能.
- 分数微积分的计算.
背景情况:
- COVID-19仍然是一个全球健康问题,需要有效的策略来制其在不同的人口中传播.
- 了解COVID-19等传染病的传播动态,特别是跨不同年龄人口的传播动态,对于公共卫生干预至关重要.
研究的目的:
- 检查混合NAR-RBF网络的应用,以建模COVID-19的分数顺序动态.
- 开发和验证先进的计算技术,用于分析COVID-19在各种年龄段的传播.
- 调查拟议的COVID-19分数顺序模型的解决方案的存在,稳定性和独特性.
主要方法:
- 利用混合NAR-RBFs网络作为模拟COVID-19流行情景的计算框架.
- 应用固定点理论来确定分数顺序模型的解决方案的存在,稳定性和独特性.
- 采用了Atanga Toufik技术和碎形微积分计算来进行高级分析和持续监测疾病传播.
主要成果:
- 验证了COVID-19分数顺序模型的解决方案的存在和稳定性.
- 证明了混合NAR-RBF网络在复制不同年龄组的疾病传播方面的有效性.
- 使用先进技术获得可靠的解决方案,为非线性COVID-19模型的动态行为提供了见解.
结论:
- 混合NAR-RBFs网络提供了一种先进而有效的方法,用于模拟和理解各种年龄人口中的COVID-19动态.
- 这项研究证实了分数计算和先进的数值技术在分析复杂的传染病模型中的实用性.
- 使用MATLAB的数值模拟为COVID-19传播的现实世界行为提供了宝贵的见解.
相关概念视频
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving
45
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...
45
Linear Approximation in Frequency Domain
88
Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
88
Hybridization of Atomic Orbitals I
46.6K
The mathematical expression known as the wave function, ψ, contains information about each orbital and the wavelike properties of electrons in an isolated atom. When atoms are bound together in a molecule, the wave functions combine to produce new mathematical descriptions that have different shapes. This process of combining the wave functions for atomic orbitals is called hybridization and is mathematically accomplished by the linear combination of atomic orbitals. The new orbitals that...
46.6K
Steps in Outbreak Investigation
108
In the ever-evolving field of public health, statistical analysis serves as a cornerstone for understanding and managing disease outbreaks. By leveraging various statistical tools, health professionals can predict potential outbreaks, analyze ongoing situations, and devise effective responses to mitigate impact. For that to happen, there are a few possible stages of the analysis:
108
Mechanistic Models: Compartment Models in Individual and Population Analysis
32
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...
32
Routh-Hurwitz Criterion II
199
In the application of the Routh-Hurwitz criterion, two specific scenarios can arise that complicate stability analysis.
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first...
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first...
199


