具有明确载体动态的两种感染传播模型的分支分析
Akhil Kumar Srivastav1, Vanessa Steindorf2, Bruno V Guerrero2
1Basque Center for Applied Mathematics, Alameda de Mazarredo, Bilbao, 48009, Bizkaia, Spain. asrivastav@bcamath.org.
Journal of mathematical biology
|January 10, 2026
概括
登革热模型中的明确载体动态对于理解传播至关重要. 令人惊的是,具有明确矢量动态的复杂模型与更简单的模型产生了类似的结果,这表明矢量传播疾病建模的有效简化.
科学领域:
- 流行病学 流行病学
- 数学生物学 数学生物学
- 载体传播疾病 载体传播疾病
背景情况:
- 登革热是一个重大的全球公共卫生挑战,需要准确的传播建模.
- 以前的模型往往隐性地解释了载体动态,可能限制了对疾病传播的全面理解.
- 明确纳入载体种群动态是完善登革热传播模式和控制策略的关键.
研究的目的:
- 引入和分析SIRSIR-UV模型,该模型明确包括载体群体动态.
- 调查明确载体动态对登革热传播模式的影响.
- 将发现与使用隐式向量动态的现有模型进行比较.
主要方法:
- 利用非线性动力学和分叉理论来分析SIRSIR-UV模型.
- 导出了跨临界和触角分叉的分析条件.
- 采用了回向分叉的中心多元理论,并计算了Hopf和全球同临床分叉曲线.
主要成果:
- 证明载体种群的季节性变化可以诱导疾病传播中的混乱行为.
- 描述了SIRSIR-UV模型的复杂动态,强调了显式向量动态的影响.
- 发现SIRSIR-UV模型的分叉结构与更简单的SIRSIR模型一致.
结论:
- 登革热模型中的显式向量动力学虽然复杂,但产生了与隐式向量动力学模型相比的结果.
- 简化关于载体动态的假设可以有效地捕捉疾病传播的基本特征.
- 这一发现对开发更容易管理但更准确的载体传播疾病数学模型具有重大意义.
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