云南师范大学学报（自然科学版）2017，Vol.37Issue(6)：26-31,6.DOI:10.7699/j.ynnu.ns-2017-075
个体具有异质易感性的动态网络SIS传染病模型
Epidemic Dynamics of SIS Model with Heterogeneous Susceptibility on Random Dynamical Networks
摘要
Abstract
In this paper,we propose a susceptible-infected-susceptible (SIS) epidemic model on dynamical networks based on random walk processes.We focus on the effects of heterogeneous susceptibilities and heterogeneous interaction radii among individuals on the epidemic dynamics.The explicit expression of the basic reproduction number R0 is derived by means of the next generation matrix.Furthermore,the global stability of the model system is analyzed.We argue that whenR0 ＜ 1 the disease-free equilibrium is globally asymptotically stable while if R0 ＞ 1 then there is one and only one endemic equilibrium which is globally asymptotically stable.关键词
随机游走网络/易感性异质性/基本再生数/平衡点稳定性Key words
Random walk network/Heterogeneous susceptibility/Basic reproduction number/Equilibrium stability分类
数理科学引用本文复制引用
张泽琼,彭小龙..个体具有异质易感性的动态网络SIS传染病模型[J].云南师范大学学报（自然科学版）,2017,37(6):26-31,6.基金项目
国家自然科学基金资助项目(11601294) （11601294）
山西省回国留学人员科研基金资助项目(2016-011) （2016-011）
山西省青年基金资助项目(201601D021012). （201601D021012）
