Progression age enhanced backward bifurcation in an epidemic model with super-infection

被引：137
作者：
Martcheva, M
Thieme, HR
机构：
[1] Polytech Univ, Dept Math, Brooklyn, NY 11201 USA
[2] Arizona State Univ, Dept Math, Tempe, AZ 85287 USA
来源：
JOURNAL OF MATHEMATICAL BIOLOGY | 2003年 / 46卷 / 05期
关键词：
backward bifurcation; multiple endemic equilibria; alternating stability; break-point density; super-infection; dose-dependent latent period; progressive and quiescent latent stages; progression age structure; threshold type disease activation; operator semigroups; Hille-Yosida operators; dynamical systems; persistence; global compact attractor;
D O I：
10.1007/s00285-002-0181-7
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We consider a model for a disease with a progressing and a quiescent exposed class and variable susceptibility to super-infection. The model exhibits backward bifurcations under certain conditions, which allow for both stable and unstable endemic states when the basic reproduction number is smaller than one.
引用
收藏
页码：385 / 424
页数：40
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