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The first concern is to prove the existence and uniqueness of a global positive solution to the switching model. Then, the survival dynamics including the extinction and persistence of the untreated drug addicts under some moderate conditions are derived. The corresponding numerical simulations reveal that the densities of sample paths depend on regime switching, and larger intensities of the white noises yield earlier times for extinction of the untreated drug addicts. Especially, when the switching model degenerates to the constant model, we show the existence of the positive equilibrium point under moderate conditions, and we give the expression of the probability density function around the positive equilibrium point.&lt;\/p&gt;&lt;\/abstract&gt;<\/jats:p>","DOI":"10.3934\/mbe.2023590","type":"journal-article","created":{"date-parts":[[2023,6,9]],"date-time":"2023-06-09T06:36:12Z","timestamp":1686292572000},"page":"13222-13249","source":"Crossref","is-referenced-by-count":2,"title":["Survival analysis and probability density function of switching heroin model"],"prefix":"10.3934","volume":"20","author":[{"given":"Hui","family":"Jiang","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Fuzhou University, Fuzhou 350116, China"},{"name":"Fujian Key Laboratory of Financial Information Processing, Putian University, Putian 351100, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ling","family":"Chen","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Fuzhou University, Fuzhou 350116, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fengying","family":"Wei","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Fuzhou University, Fuzhou 350116, China"},{"name":"Center for Applied Mathematics of Fujian Province, Fuzhou University, Fuzhou 350116, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Quanxin","family":"Zhu","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Hunan Normal University, Changsha 410081, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"2321","reference":[{"key":"key-10.3934\/mbe.2023590-1","doi-asserted-by":"publisher","unstructured":"S. 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