{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:45:30Z","timestamp":1777448730529,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"1","license":[{"start":{"date-parts":[[2009,1,1]],"date-time":"2009-01-01T00:00:00Z","timestamp":1230768000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Asymptotic Analysis"],"published-print":{"date-parts":[[2009,1]]},"abstract":"<jats:p>A multi-type branching diffusion process with fast transmutations between particles are considered in this paper. The first moment equations for the process are reaction\u2013diffusion equations. As the inverse transmutation rate approaches 0, we derive an averaging principle for these reaction\u2013diffusion equations.<\/jats:p>","DOI":"10.3233\/asy-2008-0913","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T19:04:01Z","timestamp":1575054241000},"page":"21-34","source":"Crossref","is-referenced-by-count":0,"title":["An averaging principle for moment equations of branching diffusion processes with fast transformation rate"],"prefix":"10.1177","volume":"61","author":[{"given":"Zhiwei","family":"Chen","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, University of North Carolina at Charlotte, NC 28223, USA. E-mails: {zchen1; smolchan}@uncc.edu"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Stanislav","family":"Molchanov","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, University of North Carolina at Charlotte, NC 28223, USA. E-mails: {zchen1; smolchan}@uncc.edu"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2009,1,1]]},"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2008-0913","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2008-0913","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:38:48Z","timestamp":1777379928000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-2008-0913"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,1]]},"references-count":0,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2009,1]]}},"alternative-id":["10.3233\/ASY-2008-0913"],"URL":"https:\/\/doi.org\/10.3233\/asy-2008-0913","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,1]]}}}