分析随机流行病模型,意识衰退和多重权重网络上的异质个体
Xin Yi1, Guirong Liu2,3
1School of Mathematics and Statistics, Taiyuan Normal University, Jinzhong, 030619, People's Republic of China.
Scientific reports
|November 5, 2024
概括
提高公众意识和减少意识衰退是预防疾病传播的关键,正如复杂网络上的随机流行病模型所示. 环境噪音显著影响疾病传播动态.
科学领域:
- 流行病学 流行病学
- 网络科学 网络科学
- 随机动力学 随机动力学
背景情况:
- 了解复杂网络上的流行病动态对于公共卫生至关重要.
- 随机扰动和意识水平显著影响疾病传播.
- 现有的模型经常简化网络结构和动态交互.
研究的目的:
- 在多重权重复杂网络上引入和分析一个随机SAIS (易感-意识易感-感染易感-无意识易感) 流行病模型.
- 调查疾病灭绝和在随机扰动下持续存在的条件.
- 评估意识率和环境噪音对流行病结果的影响.
主要方法:
- 开发一种随机SAIS模型,其中包含感染率和意识率的随机扰动.
- 分析无病平衡的随机无对称稳定性和几乎肯定指数稳定性的分析.
- 在Erdös-Rényi随机图上进行数值模拟,以验证理论发现.
主要成果:
- 为传染病的随机持续性得出了足够的条件.
- 数字模拟证实了理论结果,并揭示了额外的见解.
- 发现提高风险意识和减缓意识衰退在制疾病传播方面非常有效.
结论:
- 风险意识及其稳定性是疫情控制的关键因素.
- 环境噪音在调节疾病传播方面发挥着重要作用.
- 随机SAIS模型为理解复杂网络中的疾病动态提供了一个强大的框架.
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