- Pattern Dynamics of an SIS Epidemic Model with Nonlocal Delay
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- 发表刊物：INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
- 关键字：Disease transmission; nonlocal delay; bifurcation analysis; spatiotemporal patterns; Turing instability
- 摘要：In this paper, we study an SIS epidemic model with nonlocal delay based on reaction-diffusion equation. The spatiotemporal distribution of the model solution is studied in detail, and sufficient conditions for the occurrence of the Turing pattern were obtained using the analysis of Turing instability. It was found that the delay not only prohibited the spread of infectious disease, but also had great effects on the spatial steady-state patterns. More specifically, the spatial average density of the infected populations will decrease, as well the width of the stripe pattern will increase as delay increases. When the delay increases to a certain value, the stripe pattern changes to the mixed pattern. The results in this work provide new theoretical guidance for the prevention and treatment of infectious diseases.
- 全部作者：Sun Gui-Quan, Li Can
- 第一作者：Guo Zun-Guang
- 通讯作者：Song Li-Peng
- 论文编号：1950027
- 卷号：29
- 期号：2
- ISSN号：0218-1274
- 是否译文：否
- 发表时间：2019-02-01
