{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T15:26:11Z","timestamp":1772292371725,"version":"3.50.1"},"reference-count":21,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,3,7]],"date-time":"2012-03-07T00:00:00Z","timestamp":1331078400000},"content-version":"vor","delay-in-days":66,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p>We investigate a class of multigroup dengue epidemic\nmodel. We show that the global dynamics are determined by the basic reproductive\nnumber <jats:italic>R<\/jats:italic><jats:sub>0<\/jats:sub>. We present that when <jats:italic>R<\/jats:italic><jats:sub>0<\/jats:sub> \u2264 1, there is a unique disease\u2010free\nequilibrium which is globally asymptotically stable; when <jats:italic>R<\/jats:italic><jats:sub>0<\/jats:sub> &gt; 1, there exists a\nunique endemic equilibrium and it is globally asymptotically stable proved by a\ngraph\u2010theoretic approach to the method of global Lyapunov function.<\/jats:p>","DOI":"10.1155\/2012\/342472","type":"journal-article","created":{"date-parts":[[2012,3,7]],"date-time":"2012-03-07T21:00:45Z","timestamp":1331154045000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Global Stability of Multigroup Dengue Disease Transmission Model"],"prefix":"10.1155","volume":"2012","author":[{"given":"Deqiong","family":"Ding","sequence":"first","affiliation":[]},{"given":"Xueping","family":"Wang","sequence":"additional","affiliation":[]},{"given":"Xiaohua","family":"Ding","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,3,7]]},"reference":[{"key":"e_1_2_5_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/0025-5564(76)90125-5"},{"key":"e_1_2_5_2_2","first-page":"259","article-title":"Global stability of the endemic equilibrium of multigroup SIR epidemic models","volume":"14","author":"Guo H. 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