{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,4]],"date-time":"2026-02-04T14:38:40Z","timestamp":1770215920249,"version":"3.49.0"},"reference-count":12,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2024,3,1]],"date-time":"2024-03-01T00:00:00Z","timestamp":1709251200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2024,3,1]],"date-time":"2024-03-01T00:00:00Z","timestamp":1709251200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2024,3,1]],"date-time":"2024-03-01T00:00:00Z","timestamp":1709251200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2024,3,1]],"date-time":"2024-03-01T00:00:00Z","timestamp":1709251200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2024,3,1]],"date-time":"2024-03-01T00:00:00Z","timestamp":1709251200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2024,3,1]],"date-time":"2024-03-01T00:00:00Z","timestamp":1709251200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2024,3,1]],"date-time":"2024-03-01T00:00:00Z","timestamp":1709251200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11871473"],"award-info":[{"award-number":["11871473"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Applied Mathematics Letters"],"published-print":{"date-parts":[[2024,3]]},"DOI":"10.1016\/j.aml.2023.108920","type":"journal-article","created":{"date-parts":[[2023,11,10]],"date-time":"2023-11-10T04:38:23Z","timestamp":1699591103000},"page":"108920","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":1,"special_numbering":"C","title":["Threshold dynamics of a stochastic vegetation-water system motivated by Black\u2013Karasinski process: Stationary distribution and extinction"],"prefix":"10.1016","volume":"149","author":[{"given":"Bingtao","family":"Han","sequence":"first","affiliation":[]},{"given":"Daqing","family":"Jiang","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/j.aml.2023.108920_b1","doi-asserted-by":"crossref","DOI":"10.1016\/j.cnsns.2023.107157","article-title":"Stationary distribution, density function and extinction of stochastic vegetation-water systems","volume":"120","author":"Han","year":"2023","journal-title":"Commun. Nonlinear. Sci. Numer. Simulat."},{"key":"10.1016\/j.aml.2023.108920_b2","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevLett.90.038101","article-title":"Reactive glass and vegetation patterns","volume":"90","author":"Shnerb","year":"2003","journal-title":"Phys. Rev. Lett."},{"key":"10.1016\/j.aml.2023.108920_b3","doi-asserted-by":"crossref","first-page":"450","DOI":"10.1111\/j.1461-0248.2008.01160.x","article-title":"Changing skewness: An early warning signal of regime shifts in ecosystems","volume":"11","author":"Guttal","year":"2008","journal-title":"Ecol. Lett."},{"key":"10.1016\/j.aml.2023.108920_b4","doi-asserted-by":"crossref","first-page":"516","DOI":"10.1016\/j.jfranklin.2020.10.035","article-title":"Threshold dynamics and pulse control of a stochastic ecosystem with switching parameters","volume":"358","author":"Zhang","year":"2020","journal-title":"J. Franklin. Inst."},{"key":"10.1016\/j.aml.2023.108920_b5","doi-asserted-by":"crossref","first-page":"30","DOI":"10.1007\/s00332-022-09789-7","article-title":"Stationary distribution, extinction and probability density function of a stochastic vegetation\u2013water model in arid ecosystems","volume":"32","author":"Zhou","year":"2022","journal-title":"J. Nonlinear. Sci."},{"key":"10.1016\/j.aml.2023.108920_b6","doi-asserted-by":"crossref","first-page":"5113","DOI":"10.1016\/j.jde.2019.11.004","article-title":"Threshold behavior in a stochastic algal growth model with stoichiometric constraints and seasonal variation","volume":"268","author":"Zhao","year":"2020","journal-title":"J. Differ. Equ."},{"key":"10.1016\/j.aml.2023.108920_b7","article-title":"Stationary distribution and extinction of a stochastic HLIV model with viral production and Ornstein\u2013Uhlenbeck process","volume":"119","author":"Liu","year":"2023","journal-title":"Commun. Nonlinear. Sci. Numer. Simulat."},{"key":"10.1016\/j.aml.2023.108920_b8","doi-asserted-by":"crossref","DOI":"10.1016\/j.aml.2021.107589","article-title":"Stationary distribution of a stochastic vegetation-water system with reaction\u2013diffusion","volume":"123","author":"Pan","year":"2022","journal-title":"Appl. Math. Lett."},{"key":"10.1016\/j.aml.2023.108920_b9","doi-asserted-by":"crossref","DOI":"10.1016\/j.cnsns.2022.106450","article-title":"Analysis of a stochastic population model with mean-reverting Ornstein\u2013Uhlenbeck process and allee effects","volume":"111","author":"Zhou","year":"2022","journal-title":"Commun. Nonlinear. Sci. Numer. Simulat."},{"key":"10.1016\/j.aml.2023.108920_b10","doi-asserted-by":"crossref","first-page":"2073","DOI":"10.3934\/dcdsb.2016037","article-title":"Environmental variability and mean-reverting processes","volume":"21","author":"Allen","year":"2016","journal-title":"Discre. Contin. Dyn. Syst. Ser. B."},{"key":"10.1016\/j.aml.2023.108920_b11","doi-asserted-by":"crossref","DOI":"10.1016\/j.aml.2022.108100","article-title":"Stationary distribution and extinction of a stochastic two-stage model of social insects with egg cannibalism","volume":"132","author":"Jiang","year":"2022","journal-title":"Appl. Math. Lett."},{"key":"10.1016\/j.aml.2023.108920_b12","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1017\/jpr.2015.18","article-title":"Conditions for permanence and ergodicity of certain stochastic predator\u2013 prey models","volume":"53","author":"Du","year":"2016","journal-title":"J. Appl. Probab."}],"container-title":["Applied Mathematics Letters"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S089396592300352X?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S089396592300352X?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,2,4]],"date-time":"2026-02-04T03:59:03Z","timestamp":1770177543000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S089396592300352X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,3]]},"references-count":12,"alternative-id":["S089396592300352X"],"URL":"https:\/\/doi.org\/10.1016\/j.aml.2023.108920","relation":{},"ISSN":["0893-9659"],"issn-type":[{"value":"0893-9659","type":"print"}],"subject":[],"published":{"date-parts":[[2024,3]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Threshold dynamics of a stochastic vegetation-water system motivated by Black\u2013Karasinski process: Stationary distribution and extinction","name":"articletitle","label":"Article Title"},{"value":"Applied Mathematics Letters","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.aml.2023.108920","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2023 Elsevier Ltd. All rights reserved.","name":"copyright","label":"Copyright"}],"article-number":"108920"}}