微分型玉米病模型的动态分析,具有增强的预测能力
Zia Ullah Khan1, Mati Ur Rahman2
1College of Mathematics and Physics, Shanghai University of Electric Power, No. 1851, Hucheng Ring Road, Pudong New Area, Shanghai, 201306, PR China.
Computational biology and chemistry
|November 2, 2025
概括
这项研究引入了一种新的碎形-碎形模型,以了解玉米病 (MSD) 传播. 这些发现表明,杀虫剂可以有效控制玉米作物中MSD传播.
科学领域:
- 传染病的数学建模 传染病的数学建模
- 农业昆虫学 农业昆虫学
- 分数微积分的应用.
背景情况:
- 玉米菌株病 (MSD),由玉米菌株病毒 (MSV) 引起,是全球玉米生产的重大威胁.
- 传染发生在Cicadulina叶虫,显著影响作物产量.
研究的目的:
- 开发和分析一个新的分数-分数卡普托衍生模型,用于MSD传播动态.
- 评估杀虫剂干预措施在控制MSD传播方面的有效性.
- 研究碎形-碎形参数对疾病动态的影响.
主要方法:
- 一个 Fractal-fractional Caputo衍生模型,包含易受,经过处理,暴露,感染和恢复的组件.
- 固定点理论用于确定解决方案的存在和独特性.
- 乌拉姆-海尔斯稳定性分析.
- 数字模拟的分数亚当斯-巴什福斯方法.
- 深度神经网络分析用于基于参数的建模.
主要成果:
- 分数-分数模型为MSD动态提供了比整数顺序模型更细致的了解.
- 数字模拟证明了碎形顺序和尺寸对疾病传播的影响.
- 杀虫剂干预已被证明可以有效控制MSD传播.
- 深度神经网络被用于详细的MSD模型分析.
结论:
- 分数-分数方法为分析复杂的植物疾病动态,如MSD提供了强大的工具.
- 基于这种建模方法的见解,可以优化杀虫剂策略.
- 进一步的研究可以利用先进的数学和计算方法来治疗疾病.
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