Abstract
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.
Original language | English (US) |
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Pages (from-to) | 385-424 |
Number of pages | 40 |
Journal | Journal Of Mathematical Biology |
Volume | 46 |
Issue number | 5 |
DOIs | |
State | Published - May 1 2003 |
Keywords
- Alternating stability
- Backward bifurcation
- Break-point density
- Dose-dependent latent period
- Multiple endemic equilibria
- Progression age structure
- Progressive and quiescent latent stages
- Super-infection
- Threshold type disease activation
ASJC Scopus subject areas
- Modeling and Simulation
- Agricultural and Biological Sciences (miscellaneous)
- Applied Mathematics