Stability and Hopf bifurcation analysis of a delayed SIRC epidemic model for Covid-19

Abstract

This paper examines the spread of COVID-19 during the pandemic using the SIRC model and transmission delay. We investigated both the infection-free (E0) and the infected (E1) steady states are locally stable. We evaluated the duration of the delay for which the steadiness pursues to be maintained, by the Nyquist criterion. The Hopf bifurcation is used to explain the nature of the disease at the start of a 2nd cycle and the kinds of interventions needed to end it. Theoretical results are supported through numerical simulations.