{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,12]],"date-time":"2026-03-12T13:53:35Z","timestamp":1773323615042,"version":"3.50.1"},"reference-count":7,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2010,11,8]],"date-time":"2010-11-08T00:00:00Z","timestamp":1289174400000},"content-version":"vor","delay-in-days":311,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2010,1]]},"abstract":"<jats:p>The dynamics of many epidemiological models for infectious diseases that\nspread in the sexually active population presents a crucial period: the period of the influx\nor recruitment of susceptible. In this paper, we assume that the recruitment of susceptible\nis done among the juvenile group. We propose a dynamical system to modelize the disease\nspread, and we study the dynamical behavior of this system. Then, the controllability of\nthe system is studied. We prove that the survival rate allows to control the dynamic of the\nsystem. Numerical simulations are given to illustrate the results.<\/jats:p>","DOI":"10.1155\/2010\/638021","type":"journal-article","created":{"date-parts":[[2010,11,8]],"date-time":"2010-11-08T19:33:34Z","timestamp":1289244814000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Dynamics and Thresholds of a Simple Epidemiological Model: Example of HIV\/AIDS in Mali"],"prefix":"10.1155","volume":"2010","author":[{"given":"Ouat\u00e9ni","family":"Diallo","sequence":"first","affiliation":[]},{"given":"Yaya","family":"Kon\u00e9","sequence":"additional","affiliation":[]},{"given":"J\u00e9r\u00f4me","family":"Pousin","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2010,11,8]]},"reference":[{"key":"e_1_2_4_1_2","doi-asserted-by":"publisher","DOI":"10.3934\/dcdsb.2003.3.299"},{"key":"e_1_2_4_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2005.01.063"},{"key":"e_1_2_4_3_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-1140-2"},{"key":"e_1_2_4_4_2","first-page":"459","article-title":"Bifurcation analysis on an unfolding of the Takens-Bogdanov singularity","volume":"36","author":"Han G.-J.","year":"1999","journal-title":"Journal of the Korean Mathematical Society"},{"key":"e_1_2_4_5_2","unstructured":"WolfC. 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