{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:52:14Z","timestamp":1777449134535,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"1-2","license":[{"start":{"date-parts":[[2014,7,1]],"date-time":"2014-07-01T00:00:00Z","timestamp":1404172800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Asymptotic Analysis"],"published-print":{"date-parts":[[2014,7]]},"abstract":"<jats:p>We consider a model of individual clustering with two specific reproduction rates and small diffusion parameter in one space dimension. It consists of a drift\u2013diffusion equation for the population density coupled to an elliptic equation for the velocity of individuals. We prove the convergence (in suitable topologies) of the solution of the problem to the unique solution of the limit transport problem, as the diffusion coefficient tends to zero.<\/jats:p>","DOI":"10.3233\/asy-141218","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T19:33:14Z","timestamp":1575055994000},"page":"93-110","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":2,"title":["A model of individual clustering with vanishing diffusion"],"prefix":"10.1177","volume":"88","author":[{"given":"Elissar","family":"Nasreddine","sequence":"first","affiliation":[{"name":"Institut de Math\u00e9matiques de Toulouse, Universit\u00e9 de Toulouse, F-31062 Toulouse cedex 9, France. E-mail: elissar_nd@hotmail.fr"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2014,7,1]]},"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-141218","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-141218","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:40:08Z","timestamp":1777380008000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-141218"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,7]]},"references-count":0,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2014,7]]}},"alternative-id":["10.3233\/ASY-141218"],"URL":"https:\/\/doi.org\/10.3233\/asy-141218","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,7]]}}}