- Pattern dynamics of a spatial epidemic model with time delay
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- 发表刊物：APPLIED MATHEMATICS AND COMPUTATION
- 关键字：Epidemic model; Spatial diffusion; Time delay; Pattern formation
- 摘要：The nonlinear incidence rate can explain the complicated infectious process of disease. Arid time delay describing the latent period widely exists in the process of disease contagion. In this paper, a spatiotemporal epidemic model with nonlinear incidence rate is investigated. In particular, we considered that the time delay is relatively small. In this case, the characteristic equation are derived, we obtain two mechanisms of instability of the positive constant stationary state, that is, One is the diffusion induced instability, and the other one is delay induced instability. Moreover, the results of numerical simulation validate our theoretical analyses. The obtained results may well catch some major features for epidemic models. (C) 2016 Elsevier Inc. All rights reserved.
- 全部作者：Shi Qiong,Feng Li-Ping ,Zhang Rong-Ping
- 通讯作者：Song Lipeng
- 卷号：292
- 页面范围：390-399
- 是否译文：否
- 发表时间：2017-01-01
