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Threshold conditions are derived for permanence and extinction of disease by the corresponding\n                    <jats:italic>\u03b1<\/jats:italic>\n                    -paths, which reveal relationships of three models. Numerical simulations are given to illustrate these results.\n                  <\/jats:p>","DOI":"10.3233\/jifs-18007","type":"journal-article","created":{"date-parts":[[2018,7,6]],"date-time":"2018-07-06T12:12:01Z","timestamp":1530879121000},"page":"5785-5796","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":6,"title":["Comparison of three SIS epidemic models: deterministic, stochastic and uncertain"],"prefix":"10.1177","volume":"35","author":[{"given":"Zhiming","family":"Li","sequence":"first","affiliation":[{"name":"College of Mathematics and System Science, Xinjiang University, Urumqi, Xinjiang, China"}]},{"given":"Zhidong","family":"Teng","sequence":"additional","affiliation":[{"name":"College of Mathematics and System Science, Xinjiang University, Urumqi, Xinjiang, China"}]},{"given":"Dujun","family":"Hong","sequence":"additional","affiliation":[{"name":"College of Mathematics and System Science, Xinjiang University, Urumqi, Xinjiang, China"}]},{"given":"Xiaoping","family":"Shi","sequence":"additional","affiliation":[{"name":"College of Mathematics and System Science, Xinjiang University, Urumqi, Xinjiang, China"}]}],"member":"179","published-online":{"date-parts":[[2018,7,6]]},"reference":[{"key":"e_1_3_2_2_2","first-page":"700","article-title":"Contributions to the mathematical theory of epidemics","volume":"115","author":"Kermack M.","year":"1927","unstructured":"KermackM. and MckendrickA., Contributions to the mathematical theory of epidemics, Proc R Soc A 115 (1927), 700\u2013721.","journal-title":"Proc R Soc A"},{"key":"e_1_3_2_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/0025-5564(78)90006-8"},{"key":"e_1_3_2_4_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF00277162"},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.1137\/S0036144500371907"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0025-5564(99)00047-4"},{"key":"e_1_3_2_7_2","doi-asserted-by":"publisher","DOI":"10.1137\/S0036139999359860"},{"key":"e_1_3_2_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2012.10.007"},{"key":"e_1_3_2_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2014.02.017"},{"key":"e_1_3_2_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0893-9659(02)00069-1"},{"key":"e_1_3_2_11_2","first-page":"402","article-title":"Global asymptotic stability of a generalized SIRS epidemic model with transfer from infectious to susceptible","volume":"8","author":"Bai Y.Z.","year":"2018","unstructured":"BaiY.Z. and MuX.Q., Global asymptotic stability of a generalized SIRS epidemic model with transfer from infectious to susceptible, J of Applied Anal Comput 8 (2018), 402\u2013412.","journal-title":"J of Applied Anal Comput"},{"key":"e_1_3_2_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2004.11.062"},{"key":"e_1_3_2_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2011.11.072"},{"key":"e_1_3_2_14_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2016.01.045"},{"key":"e_1_3_2_15_2","doi-asserted-by":"publisher","DOI":"10.1137\/10081856X"},{"key":"e_1_3_2_16_2","volume-title":"Uncertainly Theory","author":"Liu B.","year":"2007","unstructured":"LiuB. 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