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This study involves matrix analysis of lower triangular block matrices and some of their spectral properties. We propose an N-periodic control strategy in order to stabilize the disease around the disease-free equilibrium point.<\/jats:p>","DOI":"10.2478\/amcs-2018-0014","type":"journal-article","created":{"date-parts":[[2018,3,31]],"date-time":"2018-03-31T22:16:18Z","timestamp":1522534578000},"page":"185-195","source":"Crossref","is-referenced-by-count":1,"title":["Stabilization of an epidemic model via an N-periodic approach"],"prefix":"10.61822","volume":"28","author":[{"given":"Bego\u00f1a","family":"Cant\u00f3","sequence":"first","affiliation":[{"name":"Institute for Multidisciplinary Mathematics Technical University of Valencia, Camino de Vera, 14, 46022 Valencia , Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Carmen","family":"Coll","sequence":"additional","affiliation":[{"name":"Institute for Multidisciplinary Mathematics Technical University of Valencia, Camino de Vera, 14, 46022 Valencia , Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Elena","family":"S\u00e1nchez","sequence":"additional","affiliation":[{"name":"Institute for Multidisciplinary Mathematics Technical University of Valencia, Camino de Vera, 14, 46022 Valencia , Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"37438","published-online":{"date-parts":[[2018,3,31]]},"reference":[{"key":"2023050302340726875_j_amcs-2018-0014_ref_001_w2aab3b7c13b1b6b1ab1ab1Aa","doi-asserted-by":"crossref","unstructured":"Ainseba, B.E., Benosman, C. and Maga, P. 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