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- W3177220046 abstract "<abstract> Based on the $ SIQR $ model, we consider the influence of time delay from infection to isolation and present a delayed differential equation (DDE) according to the characteristics of the COVID-19 epidemic phenomenon. First, we consider the existence and stability of equilibria in the above delayed $ SIQR $ model. Second, we analyze the existence of Hopf bifurcations associated with two equilibria, and we verify that Hopf bifurcations occur as delays crossing some critical values. Then, we derive the normal form for Hopf bifurcation by using the multiple time scales method for determining the stability and direction of bifurcation periodic solutions. Finally, numerical simulations are carried out to verify the analytic results. </abstract>" @default.
- W3177220046 created "2021-07-05" @default.
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- W3177220046 date "2021-01-01" @default.
- W3177220046 modified "2023-10-18" @default.
- W3177220046 title "Stability and bifurcation analysis of $ SIQR $ for the COVID-19 epidemic model with time delay" @default.
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- W3177220046 doi "https://doi.org/10.3934/mbe.2021278" @default.
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