新疆大学数学与系统科学学院
纸质出版:2015
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[1]葛清,滕志东,夏米西努尔.带有Jump干扰的SIRS随机传染病模型的性质(英文)[J].新疆大学学报(自然科学版),2015,32(02):157-164.
[1]葛清,滕志东,夏米西努尔.带有Jump干扰的SIRS随机传染病模型的性质(英文)[J].新疆大学学报(自然科学版),2015,32(02):157-164. DOI: 10.13568/j.cnki.651094.2015.02.06.
DOI:10.13568/j.cnki.651094.2015.02.06.
研究了带有Jump干扰的SIRS随机传染病模型.通过利用Lyapunov函数的方法
证明了当初始条件为正值时
模型有唯一的全局正解.并且调查了围绕着无病平衡点及地方病平衡点的解的渐近行为.
In this paper
the dynamics behavior of a stochastic SIRS epidemic model with jumps is studied. By using the Lyapunov function method
we show that the model has unique global positive solution with the positive initial value. Then
the asymptotic behavior of solutions around the disease-free equilibrium and endemic equilibrium of the deterministic model is investigated.
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