牛群中牛菌感染病的敏感性分析和动态与控制事件率,使用分数衍生物
Muhammad Farman1,2,3, Evren Hincal1,3, Saba Jamil4
1Faculty of Arts and Sciences, Department of Mathematics, Near East University, Near East Boulevard, Nicosia /Mersin 10, PC: 99138, Turkey.
Scientific reports
|January 2, 2025
概括
这项研究使用分数计算方法与卡普托-法布里齐奥操作员在牛群中传播牛病的模型. 研究结果表明,分数顺序和记忆效应是理解和控制这种动物传播疾病的关键.
科学领域:
- 数学建模的数学建模
- 流行病学 流行病学
- 分数微积分的微积分计算.
背景情况:
- 动物传播的疾病,如血病,对人类健康构成重大风险.
- 畜牧业是一个主要的全球产业,使得疾病控制至关重要.
研究的目的:
- 开发一种数学模型,用于在牛群中传播牛病.
- 为了控制疾病发病率,使用卡普托-法布里齐奥运营商.
- 分析模型的稳定性和敏感性,以有效管理疾病.
主要方法:
- 使用卡普托-法布里齐奥运算子开发数学模型.
- 应用Lipschitz条件和收缩映射定理,以求解决方案的存在和独特性.
- 在平衡点使用皮卡德稳定性的敏感性分析和稳定性分析 (全球/本地).
主要成果:
- 分数顺序和记忆效应显著影响菌病传播动态.
- 敏感性分析确定了感染率的关键参数.
- 卡普托-法布里齐奥运营商在模拟疾病传播方面被证明是有效的.
结论:
- 开发的模型为牛群中控制牛病提供了基础.
- 分数建模提供了更准确的疾病动态的理解.
- 这项研究强调了在流行病学模型中考虑记忆效应的重要性.
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