Analysis of the mitigation strategies for COVID-19: From mathematical modelling perspective

Semu M. Kassa, John B.H. Njagarah, Yibeltal A. Terefe

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this article, a mathematical model for the transmission of COVID-19 disease is formulated and analysed. It is shown that the model exhibits a backward bifurcation at R0=1 when recovered individuals do not develop a permanent immunity for the disease. In the absence of reinfection, it is proved that the model is without backward bifurcation and the disease free equilibrium is globally asymptotically stable for R0<1. By using available data, the model is validated and parameter values are estimated. The sensitivity of the value of R0 to changes in any of the parameter values involved in its formula is analysed. Moreover, various mitigation strategies are investigated using the proposed model and it is observed that the asymptomatic infectious group of individuals may play the major role in the re-emergence of the disease in the future. Therefore, it is recommended that in the absence of vaccination, countries need to develop capacities to detect and isolate at least 30% of the asymptomatic infectious group of individuals while treating in isolation at least 50% of symptomatic patients to control the disease.

Original languageEnglish
Article number109968
Number of pages16
JournalChaos, Solitons and Fractals
Volume138
DOIs
Publication statusPublished - Sep 2020

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematics(all)
  • Physics and Astronomy(all)
  • Applied Mathematics

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