Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10426692 | Nonlinear Analysis: Real World Applications | 2005 | 13 Pages |
Abstract
We derive and study a time-delayed SIR model with a general incidence rate. The time delay represents temporary immunity period, i.e. time from recovery to becoming susceptible again. Both trivial and endemic equilibria are found, and their stability is investigated. Using Lyapunov functional approach, the global stability of an endemic equilibrium is shown. Numerical simulations support our analytical conclusions and illustrate possible behaviour scenarios of the model.
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Yuliya N. Kyrychko, Konstantin B. Blyuss,