Journal of Jilin University Science Edition ›› 2023, Vol. 61 ›› Issue (4): 831-839.
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HE Jie, CHU Huijie
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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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HE Jie, CHU Huijie. Threshold Dynamics of a Partially Degenerated Reaction-Diffusion Cholera Model[J].Journal of Jilin University Science Edition, 2023, 61(4): 831-839.
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http://xuebao.jlu.edu.cn/lxb/EN/Y2023/V61/I4/831
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