An SEIS Epidemic Model with Susceptible Individuals Traveling between Two Regions
In this paper, a SEIS epidemic model with susceptible individuals traveling between two regions is proposed. The basic reproduction number is calculated, which will not be influenced by the dispersal rates of susceptible individuals. It is shown that if basic reproduction number smaller than one, the susceptible dispersal will not change the disease dynamics and infectious diseases will go to extinction in each isolated region; if basic reproduction number bigger than one, i.e. the disease spreads in each region when the regions are isolated, the disease remains persistent in two regions when the susceptible dispersal occurs. In addition,our analysis shows that infectious disease in one region can not spread to the other region where there is no such disease with effective quarantine.
SEIS epidemic model effective quarantine basic reproduction number stability.
Hui Wan Jingan Cui
Department of Mathematics, Nanjing Normal University, Nanjing, 210097 ,China
国际会议
The 1st International ELID-Grinding Conference(第一届镜面磨削技术国际会议)
长沙
英文
793-796
2008-06-12（万方平台首次上网日期，不代表论文的发表时间）