Global well-posedness and asymptotic behavior of solutions to a reaction-convection-diffusion cholera epidemic model

@article{Yamazaki2016GlobalWA,
  title={Global well-posedness and asymptotic behavior of solutions to a reaction-convection-diffusion cholera epidemic model},
  author={Kazuo Yamazaki and Xueying Wang},
  journal={Discrete and Continuous Dynamical Systems-series B},
  year={2016},
  volume={21},
  pages={1297-1316}
}
In this paper, we study the initial boundary value problem of a reaction-convection-diffusion epidemic model for cholera dynamics, which was developed in [38], named susceptible-infected-recovered-susceptible-bacteria (SIRS-B) epidemic PDE model. First, a local well-posedness result relying on the theory of cooperative dynamics systems is obtained. Via a priori estimates making use of the special structure of the system and continuation of local theory argument, we show that in fact this… 
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