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The analysis in the previous work showed the appearance of forward as well as backward bifurcations of endemic equilibria when the basic reproductive ratio [Formula: see text] is less than unity. The analysis, in the present work, of the endemically infected equilibrium behavior, through the study of a second order exponential polynomial characteristic equation, concludes the existence of a Hopf bifurcation on the upper branch of the backward bifurcation diagram and gives the criteria for stability switches. Furthermore, the inclusion of state-dependent delays is shown to entirely change the dynamics of the SI model and give rise to rich behaviors including periodic, torus and chaotic dynamics.<\/jats:p>","DOI":"10.1142\/s0218127423300288","type":"journal-article","created":{"date-parts":[[2023,9,20]],"date-time":"2023-09-20T07:16:08Z","timestamp":1695194168000},"source":"Crossref","is-referenced-by-count":3,"title":["Stability Switches, Hopf Bifurcation and Chaotic Dynamics in Simple Epidemic Model with State-Dependent Delay"],"prefix":"10.1142","volume":"33","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9213-5313","authenticated-orcid":false,"given":"Redouane","family":"Qesmi","sequence":"first","affiliation":[{"name":"Superior School of Technology, Sidi Mohamed Ben Abdellah University, Fez 30000, Morocco"}]},{"given":"Jane M.","family":"Heffernan","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, York University, Toronto, Canada"}]},{"given":"Jianhong","family":"Wu","sequence":"additional","affiliation":[{"name":"Laboratory for Industrial and Applied Mathematics, Department of Mathematics and Statistics, York University, Toronto, Canada"}]}],"member":"219","published-online":{"date-parts":[[2023,9,20]]},"reference":[{"volume-title":"Infectious Diseases of Humans Dynamics and Control","year":"1992","author":"Anderson R. 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