Journal of Jilin University Science Edition ›› 2023, Vol. 61 ›› Issue (4): 831-839.

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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

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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