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We calculated the basic reproductive number of dengue, using the next-generation operator method. We determined the local and global stability of the disease-free equilibrium. We obtained sufficient conditions for the global asymptotic stability of the endemic equilibrium using the Lyapunov functional method. When the infected periods in children and adults are the same, we that the endemic equilibrium is globally asymptotically stable in the interior of the feasible region when the threshold quantity $ R_0 &gt; 1 $. Additionally, we performed a numerical simulation using parameter values obtained from the literature. Finally, a local sensitivity analysis was performed to identify the parameters that have the greatest influence on changes in $ (R_0) $, and thereby obtain a better biological interpretation of the results.<\/p><\/abstract><\/jats:p>","DOI":"10.3934\/mbe.2023044","type":"journal-article","created":{"date-parts":[[2022,10,20]],"date-time":"2022-10-20T07:36:35Z","timestamp":1666251395000},"page":"955-974","source":"Crossref","is-referenced-by-count":13,"title":["Dynamics of a dengue disease transmission model with two-stage structure in the human population"],"prefix":"10.3934","volume":"20","author":[{"given":"Alian","family":"Li-Mart\u00edn","sequence":"first","affiliation":[{"name":"Facultad de Matem\u00e1ticas, Universidad Aut\u00f3noma de Guerrero, Ciudad Universitaria s\/n Chilpancingo, Guerrero, M\u00e9xico"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ram\u00f3n","family":"Reyes-Carreto","sequence":"additional","affiliation":[{"name":"Facultad de Matem\u00e1ticas, Universidad Aut\u00f3noma de Guerrero, Ciudad Universitaria s\/n Chilpancingo, Guerrero, M\u00e9xico"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Cruz","family":"Vargas-De-Le\u00f3n","sequence":"additional","affiliation":[{"name":"Facultad de Matem\u00e1ticas, Universidad Aut\u00f3noma de Guerrero, Ciudad Universitaria s\/n Chilpancingo, Guerrero, M\u00e9xico"},{"name":"Divisi\u00f3n de Investigaci\u00f3n, Hospital Ju\u00e1rez de M\u00e9xico, Ciudad de M\u00e9xico, M\u00e9xico"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"2321","reference":[{"key":"key-10.3934\/mbe.2023044-1","unstructured":"Dengue and severe dengue<\/i>, OMS, 2022. 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