河北工业科技2017，Vol.34Issue(2)：103-111,9.DOI:10.7535/hbgykj.2017yx02005
具有交叉感染的2种菌株对逼近模型分析
Analysis of pair approximation model of two strains with the cross infection
摘要
Abstract
To study the dynamics of pair approximation SIS model with general comtact rate and treatment.The pair approximation SIS model with a cross infection two strains are established in this paper in view of the two strains could live independently.We got a 12d system using the node status correlation coefficient based on the binomial distribution.In addition,we concluded that the local stability of the disease-free equilibrium by calauating the model of the basic reproductive number,and then,the unstable threshold of disease-free equilibrium is found.Finally,model of the disease-free equilibrium existenced unconditionally and it namely is not stable through theoretical analysis and numerical simulation.The conditions of two strains exist independently and the common survival are studied in this paper,and then,we concluded that two strains can live independently,and also be infected with each other.The high dimensionality (12) system is studied.The approximation model not only simulate the spread of disease mechanism but also capture the spread of disease in populations of network structure.So it has a certain value that applying the approximation model to many strains of the spread of disease.关键词
稳定性理论/交叉感染/对逼近/阈值/稳定性Key words
stability theory/cross infection/pair approximations/threshold/stability分类
数理科学引用本文复制引用
秦文惠,张菊平..具有交叉感染的2种菌株对逼近模型分析[J].河北工业科技,2017,34(2):103-111,9.基金项目
国家自然科学基金(11301491) （11301491）
山西省青年科学基金(2011021001-2) （2011021001-2）
