抄録
In this paper, we establish the global asymptotic stability of equi-libria for an SIR model of infectious diseases with distributed time delays gov-erned by a wide class of nonlinear incidence rates. We obtain the global prop-erties of the model by proving the permanence and constructing a suitable Lyapunov functional. Under some suitable assumptions on the nonlinear term in the incidence rate, the global dynamics of the model is completely deter-mined by the basic reproduction number R0 and the distributed delays do not influence the global dynamics of the model.
| 本文言語 | English |
|---|---|
| ページ（範囲） | 61-74 |
| ページ数 | 14 |
| ジャーナル | Discrete and Continuous Dynamical Systems - Series B |
| 巻 | 15 |
| 号 | 1 |
| DOI | |
| 出版ステータス | Published - 1月 2011 |