Impact of delay on disease outbreak in a spatial epidemic model

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• 作者：Xia-Xia Zhao (1) (2)
  Jian-Zhong Wang (1) (2)
  
  1. National Key Laboratory For Electronic Measurement Technology ; North University of China ; Taiyuan ; 030051 ; Shanxi ; People鈥檚 Republic of China
  2. Key Laboratory of Instrumentation Science and Dynamic Measurement ; Ministry of Education ; North University of China ; Taiyuan ; 030051 ; Shanxi ; People鈥檚 Republic of China
  
• 关键词：Epidemic models ; Time delay ; Pattern formation ; Outbreak ; 87.23.Cc ; 82.40.Ck ; 82.40.Bj
• 刊名：Indian Journal of Physics
• 出版年：2015
• 出版时间：April 2015
• 年：2015
• 卷：89
• 期：4
• 页码：317-321
• 全文大小：484 KB
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• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Astronomy
  Astronomy, Astrophysics and Cosmology
  Physics
  
• 出版者：Springer India
• ISSN：0974-9845

文摘

One of the central issues in studying epidemic spreading is the mechanism on disease outbreak. In this paper, we investigate the effects of time delay on disease outbreak in spatial epidemics based on a reaction-diffusion model. By mathematical analysis and numerical simulations, we show that when time delay is more than a critical value, the disease outbreaks. The obtained results show that the time delay is an important factor in the spread of the disease, which may provide new insights on disease control.