In this paper, a modified susceptible infected susceptible （SIS） epidemic model is proposed on community structure networks considering birth and death of node. For the existence of node＇s death would change the to...In this paper, a modified susceptible infected susceptible （SIS） epidemic model is proposed on community structure networks considering birth and death of node. For the existence of node＇s death would change the topology of global network, the characteristic of network with death rate is discussed. Then we study the epidemiology behavior based on the mean-field theory and derive the relationships between epidemic threshold and other parameters, such as modularity coefficient, birth rate and death rates （caused by disease or other reasons）. In addition, the stability of endemic equilibrium is analyzed. Theoretical analysis and simulations show that the epidemic threshold increases with the increase of two kinds of death rates, while it decreases with the increase of the modularity coefficient and network size.展开更多
Considering the actual behavior of people’s short-term travel,we propose a dynamic small-world community network model with tunable community strength which has constant local links and time varying long-range jumps....Considering the actual behavior of people’s short-term travel,we propose a dynamic small-world community network model with tunable community strength which has constant local links and time varying long-range jumps.Then an epidemic model of susceptible-infected-recovered is established based on the mean-field method to evaluate the inhibitory effects of avoidance and immunization on epidemic spreading.And an approximate formula for the epidemic threshold is obtained by mathematical analysis.The simulation results show that the epidemic threshold decreases with the increase of inner-community motivation rate and inter-community long-range motivation rate,while it increases with the increase of immunization rate or avoidance rate.It indicates that the inhibitory effect on epidemic spreading of immunization works better than that of avoidance.展开更多
基金supported by the National Natural Science Foundation of China (61672298, 61374180, 61373136, 61304169)the Research Foundation for Humanities and Social Sciences of Ministry of Education (12YJAZH120)the Six Projects Sponsoring Talent Summits of Jiangsu Province (RLD201212)
文摘In this paper, a modified susceptible infected susceptible （SIS） epidemic model is proposed on community structure networks considering birth and death of node. For the existence of node＇s death would change the topology of global network, the characteristic of network with death rate is discussed. Then we study the epidemiology behavior based on the mean-field theory and derive the relationships between epidemic threshold and other parameters, such as modularity coefficient, birth rate and death rates （caused by disease or other reasons）. In addition, the stability of endemic equilibrium is analyzed. Theoretical analysis and simulations show that the epidemic threshold increases with the increase of two kinds of death rates, while it decreases with the increase of the modularity coefficient and network size.
基金Supported by the National Natural Science Foundation of China(61374180,61373136,61304169)the Research Foundation for Humanities and Social Sciences of Ministry of Education,China(12YJAZH120)+1 种基金the Six Projects Sponsoring Talent Summits of Jiangsu Province,China(RLD201212)the Natural Science Foundation of Anhui Province(1608085MF127)
文摘Considering the actual behavior of people’s short-term travel,we propose a dynamic small-world community network model with tunable community strength which has constant local links and time varying long-range jumps.Then an epidemic model of susceptible-infected-recovered is established based on the mean-field method to evaluate the inhibitory effects of avoidance and immunization on epidemic spreading.And an approximate formula for the epidemic threshold is obtained by mathematical analysis.The simulation results show that the epidemic threshold decreases with the increase of inner-community motivation rate and inter-community long-range motivation rate,while it increases with the increase of immunization rate or avoidance rate.It indicates that the inhibitory effect on epidemic spreading of immunization works better than that of avoidance.
