International Journal of Differential Equations (Jan 2020)

Z-Control on COVID-19-Exposed Patients in Quarantine

  • Nita H. Shah,
  • Nisha Sheoran,
  • Ekta Jayswal

DOI
https://doi.org/10.1155/2020/7876146
Journal volume & issue
Vol. 2020

Abstract

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In this paper, a mathematical model for diabetic or hypertensive patients exposed to COVID-19 is formulated along with a set of first-order nonlinear differential equations. The system is said to exhibit two equilibria, namely, exposure-free and endemic points. The reproduction number is obtained for each equilibrium point. Local stability conditions are derived for both equilibria, and global stability is studied for the endemic equilibrium point. This model is investigated along with Z-control in order to eliminate chaos and oscillation epidemiologically showing the importance of quarantine in the COVID-19 environment.