摘要
考虑疾病传播过程中随机因素的影响,研究一类具有潜伏期和隔离仓室的SIR传染病模型(SEIQR)。通过构造Lyapunov函数并利用It?公式,证明了随机SEIQR传染病模型存在唯一的全局正解,得到其关于相应的确定性模型的无病平衡点和地方病平衡点渐近稳定的充分性条件。
Taking account of the effects of stochastic noise in disease transmission,the dynamics of SIR epidemic model with latent and quarantine(SEIQR)was studied.By constructing a Lyapunov function and using It formula,it is proved that this stochastic SEIQR epidemic model has a unique global positive solution,and obtain the sufficient conditions for the asymptotic stability of the solution on the disease-free equilibrium and endemic equilibrium of the corresponding deterministic model.
作者
李雪
胡良剑
LI Xue;HU Liangjian(College of Science,Donghua University,Shanghai 201620,China)
出处
《纺织高校基础科学学报》
CAS
2019年第1期37-43,共7页
Basic Sciences Journal of Textile Universities
基金
国家自然科学基金面上项目(11471071)
