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结构复杂空间中的疾病传播模型:开放的马尔科夫链方法.
Brenda Ivette García-Maya1, Yehtli Morales-Huerta2, Raúl Salgado-García3
1Escuela de Ingeniería y Ciencias, Tecnológico de Monterrey, Jalisco, Mexico.
这项研究使用开放的马尔科夫链模型在封闭空间传播传染病. 该模型追踪易受感染,携带者和感染个体,以预测感染风险和人口动态.
科学领域:
- 流行病学 流行病学
- 数学建模的数学建模
- 公共卫生 公共卫生
背景情况:
- 封闭空间中的传染病动态对于控制至关重要.
- 现有的模型可能无法完全捕捉到人口流入和流出系统的情况.
研究的目的:
- 为多室封闭空间中的传染病动态开发一种新的建模方法.
- 使用开放的马尔科夫链框架分析个体的移动和感染状态.
主要方法:
- 利用一个开放的马尔科夫链框架来建模个人进入/离开系统.
- 将个体分为易受感染,携带者和感染状态.
- 采用离散时间过程来模拟个体行为和感染动态.
主要成果:
- 根据人口规模和群体分布来量化感染风险的概率函数.
- 随着时间的推移,易受感染,携带者和受感染个体的平均和平均种群的计算数学表达式.
- 确定每个群体的静止平均种群.
结论:
- 开放的马尔科夫链模型为了解在动态封闭环境中疾病传播提供了强大的框架.
- 衍生的数学表达式为风险评估和公共卫生干预提供了有价值的工具.
- 通过理论和数值比较的验证支持了该模型的有效性.
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