{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,8]],"date-time":"2025-10-08T16:19:25Z","timestamp":1759940365117,"version":"3.41.2"},"reference-count":19,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2018,12,2]],"date-time":"2018-12-02T00:00:00Z","timestamp":1543708800000},"content-version":"vor","delay-in-days":335,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11601085"],"award-info":[{"award-number":["11601085"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003392","name":"Natural Science Foundation of Fujian Province","doi-asserted-by":"publisher","award":["2017J01400"],"award-info":[{"award-number":["2017J01400"]}],"id":[{"id":"10.13039\/501100003392","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2018,1]]},"abstract":"<jats:p>In this paper, we propose and analyze a commensalism model with nonmonotonic functional response and density\u2010dependent birth rates. The model can have at most four nonnegative equilibria. By applying the differential inequality theory, we show that each equilibrium can be globally attractive under suitable conditions. However, commensalism can be established only when resources for both species are large enough.<\/jats:p>","DOI":"10.1155\/2018\/9862584","type":"journal-article","created":{"date-parts":[[2018,12,2]],"date-time":"2018-12-02T23:35:11Z","timestamp":1543793711000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Dynamic Behavior of a Commensalism Model with Nonmonotonic Functional Response and Density\u2010Dependent Birth Rates"],"prefix":"10.1155","volume":"2018","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9406-945X","authenticated-orcid":false,"given":"Liang","family":"Zhao","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bin","family":"Qin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xianbo","family":"Sun","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2018,12,2]]},"reference":[{"key":"e_1_2_9_1_2","doi-asserted-by":"publisher","DOI":"10.22436\/jmcs.016.03.06"},{"key":"e_1_2_9_2_2","doi-asserted-by":"publisher","DOI":"10.1142\/S1793524517500371"},{"key":"e_1_2_9_3_2","article-title":"Dynamic behaviors of a commensal symbiosis model with non-monotonic functional response and non-selective harvesting in a partial closure","volume":"2018","author":"Lin Q.","year":"2018","journal-title":"Communications in Mathematical Biology and Neuroscience"},{"key":"e_1_2_9_4_2","doi-asserted-by":"publisher","DOI":"10.1186\/s13662-018-1646-3"},{"key":"e_1_2_9_5_2","article-title":"A commensal symbiosis model with non-monotonic functional response","volume":"2017","author":"Chen J.","year":"2017","journal-title":"Communications in Mathematical Biology and Neuroscience"},{"key":"e_1_2_9_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2015.10.068"},{"key":"e_1_2_9_7_2","article-title":"The influence of partial closure for the populations to a harvesting Lotka-Volterra commensalism model","volume":"2018","author":"Deng H.","year":"2018","journal-title":"Communications in Mathematical Biology and Neuroscience"},{"key":"e_1_2_9_8_2","doi-asserted-by":"publisher","DOI":"10.1186\/s13662-018-1662-3"},{"key":"e_1_2_9_9_2","doi-asserted-by":"publisher","DOI":"10.22436\/jmcs.016.04.03"},{"key":"e_1_2_9_10_2","article-title":"A Holling type commensal symbiosis model involving Allee effect","volume":"201","author":"Wu R. 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