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Utilizing a generalization of division (g-division) of fuzzy numbers, we obtain some sufficient condition on the qualitative features including boundedness, persistence, and convergence of positive fuzzy solution of the model, Moreover two simulation examples are presented to verify our theoretical analysis.<\/jats:p>","DOI":"10.1007\/s12190-022-01793-0","type":"journal-article","created":{"date-parts":[[2022,9,28]],"date-time":"2022-09-28T10:04:07Z","timestamp":1664359447000},"page":"1355-1376","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["Qualitative analysis of second-order fuzzy difference equation with quadratic term"],"prefix":"10.1007","volume":"69","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9553-5443","authenticated-orcid":false,"given":"Qianhong","family":"Zhang","sequence":"first","affiliation":[]},{"given":"Miao","family":"Ouyang","sequence":"additional","affiliation":[]},{"given":"Bairong","family":"Pan","sequence":"additional","affiliation":[]},{"given":"Fubiao","family":"Lin","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,9,28]]},"reference":[{"issue":"11","key":"1793_CR1","doi-asserted-by":"publisher","first-page":"3257","DOI":"10.1090\/S0002-9939-98-04626-7","volume":"126","author":"R DeVault","year":"1998","unstructured":"DeVault, R., Ladas, G., Schultz, S.W.: On the recursive sequence $$x_{n+1}=A\/x_n+1\/x_{n-2}$$. 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