模拟和分析棉花叶曲线病毒的传播动态,使用分数顺序导数
Abayneh Kebede Fantaye1, Zerihun Kinfe Birhanu2
1Debre Tabor University, Department of Mathematics, Ethiopia.
这项研究使用分数计算模拟了棉花叶卷状病毒,发现较低的分数顺序减缓了棉花植物和病媒的疾病传播. 阿坦加纳巴莱努卡普托方法确保了模型的稳定性,并提供了数值解决方案.
科学领域:
- 数学建模的数学建模
- 流行病学 流行病学
- 分数微积分的计算.
背景情况:
- 棉花叶曲线病毒 (CLCuV) 对全球棉花生产构成重大威胁.
- 了解传播动态对于有效的疾病管理策略至关重要.
- 分数计算为模拟复杂的生物系统提供了先进的工具.
研究的目的:
- 通过使用Atangana Baleanu Caputo分数顺序模型,研究棉花叶卷曲病毒 (CLCuV) 的传播动态.
- 分析模型解决方案的存在,独特性,积极性和局限性.
- 评估拟议的分数模型的乌拉姆-哈雷斯稳定性.
主要方法:
- 开发一个包含棉花植物和载体种群的分数数学模型.
- 应用功能技术来证明乌兰-海雷斯稳定性的应用.
- 使用Adams-Bashforth方法对模型进行数值计算.
主要成果:
- 该研究确定了分数模型的解决方案的存在,独特性和稳定性.
- 数值模拟表明,减少分数顺序 (从1.00到0.72) 会导致CLCuV的传播速度减慢.
- 阿坦加纳巴莱努卡普托的微分衍生物被有效地应用于模拟疾病传播.
结论:
- 分数计算,特别是Atangana Baleanu Caputo方法,为建模CLCuV传播提供了一个强大的框架.
- 这些发现表明,操纵与分数顺序相关的参数可能是疾病控制的潜在策略.
- 进一步的研究可以探索不同的分数运营商,并纳入额外的流行病学因素.
更多相关视频
06:25Localization and Quantification of Begomoviruses in Whitefly Tissues by Immunofluorescence and Quantitative PCR
Published on: February 8, 2020
10:38Fluorescence in situ Hybridizations FISH for the Localization of Viruses and Endosymbiotic Bacteria in Plant and Insect Tissues
Published on: February 24, 2014
相关概念视频
Transmission-Line Differential Equations
Line Section Model
A circuit representing a line section of length Δx helps in understanding the transmission line parameters. The voltage V(x) and current i(x) are measured...
Linear Approximation in Time Domain
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
Linear Approximation in Frequency Domain
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....
Traveling Waves: Lossless Lines
Second Derivatives and Laplace Operator
Consider a scalar function. The curl of its...
Fundamental Mathematical Principles in Pharmacokinetics: Calculus and Graphs
On the other hand, integral calculus focuses on...
