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Updated: Nov 23, 2025
Vibrio cholerae: Model Organism to Study Bacterial Pathogenesis - Interview
Published on: May 28, 2007
A note on advection-diffusion cholera model with bacterial hyperinfectivity
Xiaoqing Wu1, Yinghui Shan1, Jianguo Gao1
1Department of Mathematics and Information Science, North Minzu University, Yinchuan 750021, China.
Abstract:
This note gives a supplement to the recent work of Wang and Wang (2019) in the sense that: (i) for the critical case where $\Re_{0}=1$, cholera-free steady state is globally asymptotically stable; (ii) in a homogeneous case, the positive constant steady-state is globally asymptotically stable with additional condition when $\Re_{0}>1$. Our first result is achieved by proving the local asymptotic stability and global attractivity. Our second result is obtained by Lyapunov function.
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