Analysis of a stochastic SIB cholera model with saturation recovery rate and Ornstein-Uhlenbeck process.
Analysis of a stochastic SIB cholera model with saturation recovery rate and Ornstein-Uhlenbeck process.
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DOI：
10.3934/mbe.2023517
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发表时间：
2023-05
期刊：
影响因子：
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通讯作者：
Buyu Wen;Bing Liu;Qianqian Cui
中科院分区：
文献类型：
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作者：
Buyu Wen;Bing Liu;Qianqian Cui
研究了一类具有饱和恢复率和Ornstein-Uhlenbeck过程的随机SIB霍乱模型.证明了对于任意初值，该模型存在唯一的整体解。进一步，通过构造合适的李雅普诺夫函数，得到了模型平稳分布的充分判据，并利用同样的条件计算了概率密度函数的表达式。通过数值模拟验证了理论结果的正确性，并得到了边际概率密度函数的具体表达式。
In this paper, a stochastic SIB(Susceptible-Infected-Vibrios) cholera model with saturation recovery rate and Ornstein-Uhlenbeck process is investigated. It is proved that there is a unique global solution for any initial value of the model. Furthermore, the sufficient criterion of the stationary distribution of the model is obtained by constructing a suitable Lyapunov function, and the expression of probability density function is calculated by the same condition. The correctness of the theoretical results is verified by numerical simulation, and the specific expression of the marginal probability density function is obtained.