Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
470738 | Computers & Mathematics with Applications | 2010 | 6 Pages |
Abstract
In this paper, we introduce a basic reproduction number for a multigroup epidemic model with nonlinear incidence. Then, we establish that global dynamics are completely determined by the basic reproduction number R0R0. It shows that, the basic reproduction number R0R0 is a global threshold parameter in the sense that if it is less than or equal to one, the disease free equilibrium is globally stable and the disease dies out; whereas if it is larger than one, there is a unique endemic equilibrium which is globally stable and thus the disease persists in the population. Finally, a numerical example is also included to illustrate the effectiveness of the proposed result.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Ruoyan Sun,