具有已感染者庇护所效应的传染病模型  

SIS model with the effect of the infected refuges

作　　者：马智慧[1] 李文龙[2] 李自珍[1,3] 王淑璠[1] 

机构地区：[1]兰州大学数学与统计学院,甘肃兰州730000 [2]兰州大学草地农业科技学院,甘肃兰州730000 [3]兰州大学干旱与草地教育部重点实验室,甘肃兰州730000

出　　处：《兰州大学学报（自然科学版）》2008年第2期111-114,共4页Journal of Lanzhou University(Natural Sciences)

基　　金：国家社科基金重点项目(04AJL007);国家自然科学基金(30700100)资助

摘　　要：在已有模型的基础上引入已感染者庇护所效应后建立了新的传染病模型,并研究了已感染者庇护所效应对该模型的非负平衡点稳定性的影响.结果表明已感染者庇护所效应不仅能减少已感染者的平衡密度而且能够阻止并在一定条件下(1-1/(R_0)<p<1)消灭传染病.The effect of the infected refuges on stability properties of equilibria of the epidemic model, which was constructed according to Chen＇s model, was studied in this paper. The results showed that the equilibrium density of the infected decreased as the proportion of the infected refuges increased and the effect of the infected refuge could make the infection die out, i.e. no epidemic could occur eventually, under a set of Certain conditions （1- 1/R0 〈p 〈 1）.

关 键 词：传染病模型 已感染者庇护所效应 无病平衡点 地方病平衡点 稳定性 

分 类 号：O175[理学—数学] Q141[理学—基础数学]