{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:41:44Z","timestamp":1777704104685,"version":"3.51.4"},"reference-count":20,"publisher":"SAGE Publications","issue":"4","license":[{"start":{"date-parts":[[2017,7,12]],"date-time":"2017-07-12T00:00:00Z","timestamp":1499817600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"published-print":{"date-parts":[[2017,10]]},"abstract":"<jats:p>This paper extends the classical susceptible-infected-susceptible (SIS) epidemic model from a deterministic framework to an uncertain one and formulates it as an uncertain differential equation (UDE) for SIS epidemic model. The solutions of UDE SIS model and the corresponding \u03b1-paths are obtained. Under some conditions, these \u03b1-paths have the convergence properties. Further, a general uncertain SIS model is introduced. It\u2019s solutions and \u03b1-paths are given. An algorithm is provided to solve \u03b1-paths and uncertain distributions of the UDE SIS model, including some examples.<\/jats:p>","DOI":"10.3233\/jifs-17354","type":"journal-article","created":{"date-parts":[[2017,7,14]],"date-time":"2017-07-14T13:43:46Z","timestamp":1500039826000},"page":"2317-2327","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":29,"title":["An uncertain differential equation for SIS epidemic model"],"prefix":"10.1177","volume":"33","author":[{"given":"Zhiming","family":"Li","sequence":"first","affiliation":[{"name":"College of Mathematics and Systems Science, Xinjiang University, Urumqi, Xinjiang, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yuhong","family":"Sheng","sequence":"additional","affiliation":[{"name":"College of Mathematics and Systems Science, Xinjiang University, Urumqi, Xinjiang, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhidong","family":"Teng","sequence":"additional","affiliation":[{"name":"College of Mathematics and Systems Science, Xinjiang University, Urumqi, Xinjiang, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hui","family":"Miao","sequence":"additional","affiliation":[{"name":"College of Mathematics and Systems Science, Xinjiang University, Urumqi, Xinjiang, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2017,7,12]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.1137\/S0036144500371907"},{"key":"e_1_3_2_3_2","volume-title":"Mathematical Epidemiology of Infectious Diseases","author":"Diekmann O.","year":"2000","unstructured":"DiekmannO. and HeesterbeekJ.A.P., Mathematical Epidemiology of Infectious Diseases, Wiley, New York, 2000."},{"key":"e_1_3_2_4_2","volume-title":"Lecture Notes in Biomathematics","author":"Hethcote H.W.","year":"1994","unstructured":"HethcoteH.W. and YorkeJ.A., Gonorrhea Transmission Dynamics and Control, Lecture Notes in Biomathematics56. 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