带有半马科维亚切换和扩散的随机菌病模型的稳定性
Feng Chen1, Jing Hu1, Yuming Chen2
1School of Mathematics and Statistics, Ningxia University, Yinchuan, 750021, China.
Journal of mathematical biology
|September 9, 2024
概括
这项研究引入了随机菌病模型与状态变化. 研究结果表明,增加稳定状态的持续时间可以帮助根除乳病 (由布鲁塞拉细菌引起的疾病).
科学领域:
- 流行病学 流行病学
- 数学生物学 数学生物学
- 随机过程 随机过程
背景情况:
- 乳病的传播受环境因素和宿主相互作用的影响.
- 随机建模对于理解不确定性下的疾病动态至关重要.
- 状态变化,例如气候变化,可能会影响疾病传播率.
研究的目的:
- 开发一个包含半马科维亚转换和扩散的随机菌病模型.
- 分析环境状态变化对乳病动态的影响.
- 在转换环境中确定有利于布鲁塞洛斯灭绝的条件.
主要方法:
- 稳定性分析的随机利亚普诺夫函数方法.
- 模拟环境状态变化的半马尔科夫过程.
- 静止分布的分析,以预测疾病的灭绝.
- 数字模拟用于验证.
主要成果:
- 在非切换条件下,一个临界值决定了平均平方的指数稳定性.
- 半马尔科夫过程的静止分布影响了菌病的灭绝.
- 在稳定的状态中增加的频率和停留时间促进了菌病的灭绝.
- 环境状态的变化显著影响疾病的持续性或根除.
结论:
- 控制血病需要管理环境因素和疾病状态.
- 在稳定状态下优化持续时间可以导致疾病根除.
- 建议包括减少动物息密度,增加屠宰率和消毒.
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