{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,7]],"date-time":"2026-09-07T18:08:36Z","timestamp":1788804516892,"version":"build-2803163510"},"reference-count":31,"publisher":"L and H Scientific Publishing, LLC","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["JAND"],"published-print":{"date-parts":[[2027,3,1]]},"abstract":"<jats:p>We model the effect of vaccination on an epidemic by applying a discrete-time dynamical system defined by a nonlinear operator on the 3D simplex. Our study is conducted using a discrete susceptible-infected-recovered model with vaccination (SVIR). Our research focuses on the dynamical properties of this operator and the results obtained enable real-time forecasting. We find all fixed points and demonstrate that each fixed point is of non-hyperbolic type. Moreover, we show that every orbit approaches a fixed point.<\/jats:p>","DOI":"10.5890\/jand.2027.03.013","type":"journal-article","created":{"date-parts":[[2026,9,7]],"date-time":"2026-09-07T17:41:02Z","timestamp":1788802862000},"page":"285-297","source":"Crossref","is-referenced-by-count":0,"title":["Discrete-time Dynamics of an SVIR Model"],"prefix":"10.5890","volume":"16","author":[{"given":"U.U.","family":"Jamilov","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"F.Q.","family":"Kholikova","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"7015","published-online":{"date-parts":[[2026,9,7]]},"reference":[{"key":"ref1","doi-asserted-by":"crossref","unstructured":"[1] Kermack, W.O. and McKendrick, A.G. (1927), A contribution to the mathematical theory of epidemics, Proceedings of the Royal Society of London. 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(2003), An introduction to chaotic dynamical systems, Studies in Nonlinearity, Westview Press, Boulder, CO."}],"container-title":["Journal of Applied Nonlinear Dynamics"],"original-title":[],"language":"en","deposited":{"date-parts":[[2026,9,7]],"date-time":"2026-09-07T17:42:57Z","timestamp":1788802977000},"score":1,"resource":{"primary":{"URL":"https:\/\/lhscientificpublishing.com\/index.php\/jand\/article\/view\/2495"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,9,7]]},"references-count":31,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2027,3,1]]}},"URL":"https:\/\/doi.org\/10.5890\/jand.2027.03.013","relation":{},"ISSN":["2164-6457","2164-6473"],"issn-type":[{"value":"2164-6457","type":"print"},{"value":"2164-6473","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,9,7]]}}}