{"title":"Stability and Hopf bifurcation analysis of a delayed SIRC epidemic model for Covid-19","authors":"Venkataraman Prabhu, G. Shankar","doi":"10.1504/ijdsde.2023.10055482","DOIUrl":null,"url":null,"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 (E-0) and the infected (E-1) 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.","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":"1 1","pages":""},"PeriodicalIF":0.2000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Dynamical Systems and Differential Equations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1504/ijdsde.2023.10055482","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
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 (E-0) and the infected (E-1) 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.
期刊介绍：
IJDSDE is a quarterly international journal that publishes original research papers of high quality in all areas related to dynamical systems and differential equations and their applications in biology, economics, engineering, physics, and other related areas of science. Manuscripts concerned with the development and application innovative mathematical tools and methods from dynamical systems and differential equations, are encouraged.
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