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More precisely, we investigate existence of positive solutions, boundedness, persistence and stability analysis of a second-order fuzzy rational difference equation. Some numerical examples are given to verify our theoretical results.<\/jats:p>","DOI":"10.3233\/jifs-17922","type":"journal-article","created":{"date-parts":[[2018,1,19]],"date-time":"2018-01-19T11:01:14Z","timestamp":1516359674000},"page":"745-753","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":13,"title":["Qualitative behavior of a second-order fuzzy difference equation"],"prefix":"10.1177","volume":"34","author":[{"given":"Ghaus","family":"ur Rahman","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, University of Swat, Khyber Pakhtunkhwa, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qamar","family":"Din","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Poonch Rawalakot, Rawalakot, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Faiz","family":"Faizullah","sequence":"additional","affiliation":[{"name":"Department of Basic Sciences and Humanities, College of Electrical and Mechanical Engineering, National University of Sciences and Technology (NUST), Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Faiz Muhammad","family":"Khan","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, University of Swat, Khyber Pakhtunkhwa, Pakistan"},{"name":"Department of Applied Mathematics, School of Natural and Applied Sciences, Northwestern Polytechnical University Xi\u2019an, Shaanxi, PR China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2018,1,12]]},"reference":[{"key":"e_1_3_2_2_2","volume-title":"Periodicities in Nonlinear Difference Equations","author":"Grove E.A.","year":"2004","unstructured":"GroveE.A. and LadasG., Periodicities in Nonlinear Difference Equations, Chapman and Hall\/CRC Press, Boca Raton, 2004."},{"key":"e_1_3_2_3_2","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-017-0417-5","volume-title":"Nonlinear Difference Equations: Theory with Applications to Social Science Models","author":"Sedaghat H.","year":"2003","unstructured":"SedaghatH., Nonlinear Difference Equations: Theory with Applications to Social Science Models, Springer, Netherland, 2003."},{"key":"e_1_3_2_4_2","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1186\/1687-1847-2013-95","article-title":"Dynamics of a discrete-Lotka-Volterra model","author":"Din Q.","year":"2013","unstructured":"DinQ., Dynamics of a discrete-Lotka-Volterra model, Advances in Difference Equations (2013), 95.","journal-title":"Advances in Difference Equations"},{"key":"e_1_3_2_5_2","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.chaos.2013.05.011","article-title":"Global character of a host-parasite model","volume":"54","author":"Din Q.","year":"2013","unstructured":"DinQ. and DonchevT., Global character of a host-parasite model, Chaos, Solitons & Fractals 54 (2013), 1\u20137.","journal-title":"Chaos, Solitons & Fractals"},{"key":"e_1_3_2_6_2","doi-asserted-by":"crossref","first-page":"119","DOI":"10.1016\/j.chaos.2013.12.008","article-title":"Global stability of a population model","volume":"59","author":"Din Q.","year":"2014","unstructured":"DinQ., Global stability of a population model, Chaos, Solitons & Fractals 59 (2014), 119\u2013128.","journal-title":"Chaos, Solitons & Fractals"},{"key":"e_1_3_2_7_2","first-page":"9","article-title":"Behavior of a competitive system of second-order difference equations","volume":"2014","author":"Din Q.","year":"2014","unstructured":"DinQ., IbrahimT.F. and KhanK.A., Behavior of a competitive system of second-order difference equations, The Scientific World Journal 2014 (2014), 9. 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