吉林大学学报(理学版) ›› 2023, Vol. 61 ›› Issue (4): 831-839.

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一个部分退化反应扩散霍乱模型的阈值动力学

何杰, 褚慧洁   

  1. 西安电子科技大学  数学与统计学院, 西安 710126
  • 收稿日期:2022-09-15 出版日期:2023-07-26 发布日期:2023-07-26
  • 通讯作者: 何杰 E-mail:hj1416500720@163.com

Threshold Dynamics of a Partially Degenerated Reaction-Diffusion Cholera Model

HE Jie, CHU Huijie   

  1. School of Mathematics and Statistics, Xidian University, Xi’an 710126, China
  • Received:2022-09-15 Online:2023-07-26 Published:2023-07-26

摘要: 针对人的扩散、 空间异质性和处于静态水源环境中不同浓度的弧菌对霍乱传播的影响, 建立一个部分退化的反应扩散霍乱模型. 先定义模型的基本再生数R0, 表明R0-1的符号决定模型的全局阈值动力学; 然后通过数值模拟实验讨论模型关键参数对R0的影响, 结果表明适度的城市化有利于对疾病的控制.

关键词: 霍乱弧菌, 空间异质性, 基本再生数, 全局阈值动力学

Abstract: In order to study the effects of human to human diffusion, spatial heterogeneity and different concentrations of Vibrio in static water source environment on cholera transmission, we established  a partially degenerated reaction-diffusion cholera model. Firstly, we defined the basic reproduction number R0 of the model. Secondly, the global threshold dynamics of the model was determined by the sign of R0-1. Finally, we discussed  the effects of key model parameters on R0 through numerical simulation experiments. The results show that moderate urbanization is beneficial to disease control.

Key words: vibrio cholerae, spatial heterogeneity, basic reproduction number, global threshold dynamics

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