Article citationsMore>>

Allen, L. (1994) Some Discrete-Time SI, SIR, and SIS Epidemic Models. Mathematical Biosciences, 124, 83-105.
https://doi.org/10.1016/0025-5564(94)90025-6

has been cited by the following article:

• TITLE: Estimation of Reproduction Numbers for the Period of the COVID-19 Epidemic Outbreak in the Central African Republic

  AUTHORS: Brice M. Yambiyo, A. Manirakiza, Gaston M. N’Guérékata

  KEYWORDS: Modeling, Mathematical Epidemiology, Data Analysis

  JOURNAL NAME: Applied Mathematics, Vol.12 No.6, June 28, 2021

  ABSTRACT: In this paper, we propose a susceptible-exposed-infection-asymptomatic-hospitalized-recovered (SEIAHR) model with parameters on retrospective social distancing and masking. We estimated the model parameters from information published on the World Health Organization (WHO) website. We found that the actual reproduction number Rt varies over the period from 03 March to 07 June 2020 and moreover, effective control over contacts and the frequency of population movement would reduce the evolution of the epidemic (control c≥ 50%). And the contact check has an influence on the base reproduction number R0.