一个随机的一般SIRS流行病模型与迁移的值动态
Zhongwei Cao1, Jian Zhang2, Huishuang Su3
1Logistics Industry Economy and Intelligent Logistics Laboratory, Jilin University of Finance and Economics, Changchun 130117, China.
Mathematical biosciences and engineering : MBE
|June 16, 2023
概括
这项研究探讨了一个随机SIRS流行病模型. 模型 模型的模型
科学领域:
- 数学流行病学数学流行病学
- 随机模型的建模
- 疾病动态 疾病动态
背景情况:
- 对于理解疾病传播来说,SIRS流行病模型至关重要.
- 随机性和不断的移民影响流行病的动态.
- 一般的发病率增加了疾病传播的复杂性.
研究的目的:
- 为了研究一个随机的SIRS流行病模型,与不断的移民和一般的发病率.
- 确定随机值在预测疾病灭绝或持续性方面的作用 $R_0^S$.
- 建立疾病静止分布的条件.
主要方法:
- 开发一个随机SIRS流行病模型.
- 使用随机值$R_0^S$分析模型的动态行为.
- 确定疾病灭绝,持久性和静止分布的条件.
- 通过数值模拟进行验证.
主要成果:
- 随机值 $R_0^S$ 准确预测疾病动态.
- 如果 $R_0^S < 1$,在特定条件下,疾病的灭绝是肯定的.
- 如果 $R_0^S > 1$,疾病可能会持续,并确定了静止分布的条件.
结论:
- 随机值$R_0^S$是SIRS模型长期行为的关键决定因素.
- 该模型提供了关于在随机环境中疾病的持续性和灭绝的见解.
- 数字模拟证实了有关疾病动态的理论预测.
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