Reproduction numbers and the expanding fronts for a diffusion-advection SIS model in heterogeneous time-periodic environment
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- 作者：Jing Gea ; c ; Chengxia Leib ; Zhigui Linc ; zglin68@hotmail.com" class="auth_mail" title="E-mail the corresponding author
- 关键词：Reaction&ndash ; diffusion systems ; Advection ; Environmental heterogeneity ; Time-periodic ; Basic reproduction number
- 刊名：Nonlinear Analysis: Real World Applications
- 出版年：2017
- 出版时间：February 2017
- 年：2017
- 卷：33
- 期：Complete
- 页码：100-120
- 全文大小：1913 K
文摘
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A free boundary problem is proposed to describe the expanding of disease in a heterogeneous time-periodic environment.
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The impact of small advection on the spreading of disease is considered.
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The basic reproduction number introduced here depends on the time.
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Numerical simulations are presented to illustrate the effect of small advection, the diffusion rate and the expanding capability.
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