北华大学学报（自然科学版）2017，Vol.18Issue(4)：426-433,8.DOI:10.11713/j.issn.1009-4822.2017.04.002
Lévy噪声驱动具有饱和发生率的SEIR传染病模型
SEIR Epidemic Models with Saturated Incidence Rate Driven by Lévy Noise
摘要
Abstract
We study an epidemic model with saturated incidence rate driven by Lévy noise and prove that this system has a unique global positive solution.Using Lyapunov method,we investigate the asymptotic behaviors of this system around the disease-free equilibrium point and the endemic equilibrium point of the corresponding deterministic system.关键词
Lévy噪声/SEIR传染病模型/正解的存在唯一性/Lyapunov函数/渐近行为Key words
Lévy noise/SEIR epidemic models/existence and uniqueness of positive solution/Lyapunov function/asymptotic behavior分类
数理科学引用本文复制引用
郭英佳..Lévy噪声驱动具有饱和发生率的SEIR传染病模型[J].北华大学学报（自然科学版）,2017,18(4):426-433,8.基金项目
吉林省教育厅科学技术研究项目(JJKH20170025KJ) （JJKH20170025KJ）
北华大学博士科研启动基金资助项目(199500095). （199500095）
