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. doi:10.1016/S0025-5564(02)00108-6

has been cited by the following article:

• TITLE: The effects of an imperfect vaccine on cholera control

  AUTHORS: Jing’an Cui, Zhanmin Wu, Guohua Song

  KEYWORDS: Cholera Model; Stability; The Basic Reproduction Number; Sensitivity Analysis

  JOURNAL NAME: Advances in Bioscience and Biotechnology, Vol.4 No.3, March 20, 2013

  ABSTRACT: In this paper, we consider a SVIR-B cholera model with imperfect vaccination. By analyzing the corresponding characteristic equations, the local asymptotically stability of a disease-free equilibrium and an endemic equilibrium is established. We calculate the certain threshold known as the basic reproduction number Rv. If Rv the community. By comparison arguments, it is proved that if Rv > 1, the unique endemic equilibrium is local asymptotically stable. We perform sensitivity analysis of Rv on the parameters in order to determine their relative importance to disease control and show that an imperfect vaccine is always beneficial in reducing disease spread within the community.