摘要
本文主要研究具有马尔可夫切换的非线性随机SIQS传染病模型的动力学行为。建立一个白色噪声与彩色噪声同时干扰的非线性随机SIQS传染病模型,通过构造合适的Lyapunov函数来研究系统的遍历性,从而证明出系统存在平稳分布。
The dynamic behavior of nonlinear stochastic SIQS epidemic model with Markov switching is mainly studied. A nonlinear stochastic SIQS epidemic model under the simultaneous interference white noise and color noise is established. The ergodic property of the system by constructing a suitable Lyapunov function is studied. It is proved that the system has a stationary distribution.
作者
夏梓桐
杨春雨
韩七星
XIA Zitong;YANG Chunyu;HAN Qixing(College of Mathematics,Changchun Normal University,Changchun 130000,China)
出处
《黑龙江大学自然科学学报》
CAS
2022年第1期42-48,共7页
Journal of Natural Science of Heilongjiang University
基金
国家自然科学基金资助项目(11801041)
吉林省科技厅资助项目(20190201130JC)。
