摘要
文章首次提出了一类具有反馈控制的随机SI传染病模型,得到了随机系统全局渐近稳定性的充分条件.结论是如果确定系统的地方病平衡点是全局稳定的,那么只要扰动充分小,其相应的随机系统也是全局稳定的.最后进行了数值模拟,验证了理论结果的有效性.
In this paper, a stochastic SI epidemic model with feedback controls is first proposed. Sufficient conditions for the global asymptotic stability of the stochastic system are established. The obtained result shows that if the endemic equilibrium of the deterministic system is globally stable, then its corresponding stochastic system will preserve this nice property provided the noise is sufficiently small. Numerical simulations are introduced to verify our main result.
出处
《生物数学学报》
2017年第2期137-145,共9页
Journal of Biomathematics
基金
Supported by the National Natural Science Foundation of P.R.China(Grant Nos11361059,11271312,11371287)
the Development Project of Innovative Talents of Technological Youth of Xinjiang(Grant No.2014721014)
the Scientific Research Programmes of Colleges in Xinjiang(Grant No.XJEDU2013I03)
关键词
全局稳定性
SI传染病模型
随机扰动
反馈控制
伊藤公式
Global stability
SI epidemic model
Stochastic perturbation
Feedback controls
It's formula
