了解以分数顺序流行病模型传播的动物传播疾病
Mohammed Althubyani1, Haroon D S Adam2, Ahmad Alalyani3
1Department of Mathematics, Faculty of Science, Al-Baha University, Al-Baha, Saudi Arabia. malthobyani@bu.edu.sa.
Scientific reports
|April 22, 2025
概括
这项研究使用分数计算模拟了和人类之间传播的动物性传染病,揭示了较低的分数顺序由于记忆效应延长了感染. 研究结果有助于制定有效的公共卫生控制策略.
科学领域:
- 流行病学 流行病学
- 数学生物学 数学生物学
- 分数微积分的计算.
背景情况:
- 动物传染病对公众健康构成重大风险,特别是在人与野生动物接触广泛的地区.
- 了解疾病传播动态对于有效的干预策略至关重要.
研究的目的:
- 开发和分析一种新的分数顺序数学模型,用于和人类之间传播动物性疾病.
- 研究记忆效应和空间异质性对疾病动态的影响.
- 评估各种控制策略的有效性.
主要方法:
- 一个分数顺序的数学模型,结合了阿坦干纳-巴莱努分数导数.
- 使用分数欧勒法进行数值模拟.
- 使用巴纳赫定点定理和皮卡德代方法进行稳定性分析.
- 包括控制策略:杀菌,限制食物获取,减少人与人之间的互动.
主要成果:
- 分数顺序模型提供了真实的动物传播疾病传播的表现.
- 稳定性分析证实了模型的稳定性和可靠性.
- 较低的分数顺序与由于记忆效应的延长感染期有关.
- 模拟结果表明,控制策略对疾病缓解的潜在影响.
结论:
- 分数计算为动物传播疾病的复杂性提供了宝贵的见解.
- 这项研究强调了记忆效应在疾病动态中的重要性.
- 这些发现支持在人野生动物接口地区为动物传染病制定有针对性的控制措施.
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