A note on advection-diffusion cholera model with bacterial hyperinfectivity.

作者: Xiaoqing Wu , , Yinghui Shan , Jianguo Gao

DOI: 10.3934/MBE.2020378

关键词: Constant (mathematics)MathematicsExponential stabilityAdvectionDiffusion (business)Lyapunov functionSteady stateWork (thermodynamics)Pure mathematicsStability theory

摘要: This note gives a supplement to the recent work of Wang and (2019) in sense that: (ⅰ) for critical case where $\Re_{0} = 1$, cholera-free steady state is globally asymptotically stable; (ⅱ) homogeneous case, positive constant steady-state stable with additional condition when $\Re_{0}>1$. Our first result achieved by proving local asymptotic stability global attractivity. second obtained Lyapunov function.

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