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Van den Driessche, P. and Watmough, J. (2002) Reproduction Numbers and Sub-Threshold Endemic Equilibria for Compartmental Models of Disease Transmission. Mathematical Biosciences, 180, 29-48.

has been cited by the following article:

• TITLE: Global Dynamics Analysis of a Cholera Transmission Model with General Incidence and Multiple Modes of Infection

  AUTHORS: Daijun Li, Lianwen Wang

  KEYWORDS: Cholera Transmission Model, Nonlinear Incidence Rate, Second Additive Composite Matrix, Lyapunov Function, Global Stability

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.11 No.11, November 30, 2023

  ABSTRACT: This paper develops an SIBR cholera transmission model with general incidence rate. Necessary and sufficient conditions for local and global asymptotic stability of the equilibria are established by Routh Hurwitz criterium, Lyapunov function, and the second additive composite matrix theorem. What is more, exploiting the DED is cover simulation tool, the parameter values of the model are estimated with the 1998-2021 cholera case data in China. Finally, we perform sensitivity analysis for the basic reproduction number to seek for effective interventions for cholera control.