北华大学学报（自然科学版）2018，Vol.19Issue(3)：291-295,5.DOI:10.11713/j.issn.1009-4822.2018.03.002
基于Logistic增长和心理作用的SIR传染病模型的渐近分析
Asymptotic Analysis of an SIR Epidemic Model with Psychology Effect and Logistic Grow
朱晶1
作者信息
- 1. 鞍山师范学院数学与信息科学学院,辽宁 鞍山 114005
- 折叠
摘要
Abstract
By using epidemic dynamic theory,considering the occurrence of infectious diseases,people will take corresponding measures to prevent and Logistic grow,a class of SIR epidemic model with psychology effect and treatment is established.By using some methods,including qualitative and stability theory of ordinary differential equations,limit system theory,sufficient conditions are obtained for the global asymptotic stability of each of disease-free equilibrium and endemic equilibrium to the proposed model. The results show that the positive influence of people's psychological function can control the spread and prevalence of disease within a certain range,together with effective treatment measures,can even accelerate the extinction of the disease.关键词
SIS传染病模型/心理作用/平衡点/全局渐近稳定性Key words
SIS epidemic model/psychology effect/equilibrium/global asymptotic stability分类
数理科学引用本文复制引用
朱晶..基于Logistic增长和心理作用的SIR传染病模型的渐近分析[J].北华大学学报（自然科学版）,2018,19(3):291-295,5.
