Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4630166 | Applied Mathematics and Computation | 2011 | 10 Pages |
Abstract
In this paper, we present a new delay multigroup SEIR model with group mixing and nonlinear incidence rates and investigate its global stability. We establish that the global dynamics of the models are completely determined by the basic reproduction number R0R0. It is shown that, if R0⩽1R0⩽1, then the disease free equilibrium is globally asymptotically stable and the disease dies out; if R0>1R0>1, there exists a unique endemic equilibrium that is globally asymptotically stable and thus the disease persists in the population. Finally, a numerical example is also discussed to illustrate the effectiveness of the results.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Hao Chen, Jitao Sun,