控制无线传感器网络中的虫传播:通过分数-分数数学视角
Mian Imad Shah1, Eltigani Ismail Hassan2, Amjad Ali1
1Department of Mathematics and Statistics, University of Swat, Khyber Pakhtunkhwa, Pakistan.
PloS one
|November 20, 2025
概括
这项研究增强了无线传感器网络 (WSN) 的易受感染-受保护-恢复 (SIPR) 模型,使用微积分计算更好地了解恶意软件动态并提高网络安全.
科学领域:
- 计算机科学 计算机科学
- 网络安全 网络安全
- 数学建模的数学建模
背景情况:
- 由于资源限制,无线传感器网络 (WSN) 面临着严重的恶意软件威胁.
- 现有的安全模型往往缺乏准确性来捕捉WSN中的复杂恶意软件动态.
研究的目的:
- 为WSNs开发一个通用的易感染,隔离,保护和恢复 (SIIPR) 模型.
- 为了更现实地进行恶意软件传播分析,将分数-分数衍生物纳入.
- 分析拟议模型的存在,独特性和稳定性.
主要方法:
- 采用了先进的易受感染-受保护-恢复 (SIPR) 模型,在阿坦干娜-巴莱努-卡普托 (ABC) 意义上使用分数-分数导数 (FFD).
- 引入了一个新的"隔离节点"区和相关的恢复/隔离参数.
- 应用非线性和固定点理论用于存在和稳定性分析.
- 开发了一个基于牛顿多项式的数值方案,用于近似计算.
主要成果:
- 确定了SIIPR模型的解决方案的存在和独特性.
- 使用先进的数学理论进行稳定性分析.
- 通过使用MATLAB的数值模拟来证明模型的动态.
结论:
- 拟议的分数顺序SIIPR模型提供了一个更准确的恶意软件动态在WSNs.
- 这些发现有助于为资源有限的网络开发更强大的安全策略.
- 该研究强调了高级数学建模对WSN安全的重要性.
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