在媒体报道影响下具有隔离项的传染病模型的动力学分析  

Dynamics of an SIQS Epidemic Model with Media Coverage

作　　者：张沐涵 王思林 王琳[1] 

机构地区：[1]长春工业大学,吉林 长春

出　　处：《理论数学》2022年第6期1047-1058,共12页Pure Mathematics

摘　　要：本文采用分段光滑函数作为媒体影响函数引入到具有隔离项的SIQS传染病模型中,首先,得到平衡点的表达式,然后在R0 0 > 1时分别分析平衡点的局部稳定性和全局稳定性。最后,利用数值模拟验证平衡点的全局稳定性并说明媒体报道和隔离策略的有效性。In this paper, the piecewise smooth function is used as the media influence function to SIQS infectious disease model. First, we get the expression of the equilibrium point, and then analyze the local stability and global stability of the equilibrium point respectively in R0 0 > 1. Finally, we use numerical simulation to verify the global stability of the equilibrium point and illustrate the effectiveness of media coverage and quarantine strategies.

关 键 词：媒体报道 隔离项 传染病模型 全局稳定性 

分 类 号：O175[理学—数学]