Steady States in SIRS Epidemical Model of Mobile Individual  

作　　者：ZHANG Duan-Ming HE Min-Hua YU Xiao-Ling PAN Gui-Jun SUN Hong-Zhang SU Xiang-Ying SUN Fan YIN Yah-Ping LI Rui LIU Dan 

机构地区：[1]Department of Physics, Huazhong University of Science and Technology, Wuhan 430074, China

出　　处：《Communications in Theoretical Physics》2006年第1期105-108,共4页理论物理通讯（英文版）

基　　金：The project supported by National Natural Science Foundation of China under Grant No. 50272022 and the Sunshine Foundation of Wuhan City under Grant No. 20045006071-40

摘　　要：We consider an epidemical model within soclally interacting mobile individuals to study the behaviors of steady states of epidemic propagation in 2D networks. Using mean-field approximation and large scale simulations, we recover the usual epidemic behavior with critical thresholds δc and pc below which infectious disease dies out. For the population density δ far above δc it is found that there is linear relationship between contact rate λ and the population density δ in the main. At the same time, the result obtained from mean-field approximation is compared with our numerical result, and it is found that these two results are similar by and large but not completely the same.

关 键 词：small world epidemical model mobile individual mean-field equation 

分 类 号：O157.5[理学—数学]