{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,7,3]],"date-time":"2024-07-03T10:21:21Z","timestamp":1720002081079},"reference-count":14,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2013,11,1]],"date-time":"2013-11-01T00:00:00Z","timestamp":1383264000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"funder":[{"name":"Graduate degree thesis Innovation Foundation of Hunan Province","award":["CX2011B077"],"award-info":[{"award-number":["CX2011B077"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Sciences Foundation of China","doi-asserted-by":"crossref","award":["11071259","90820302"],"award-info":[{"award-number":["11071259","90820302"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"crossref","award":["2010QYZD001"],"award-info":[{"award-number":["2010QYZD001"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Applied Mathematics and Computation"],"published-print":{"date-parts":[[2013,11]]},"DOI":"10.1016\/j.amc.2013.08.038","type":"journal-article","created":{"date-parts":[[2013,9,18]],"date-time":"2013-09-18T18:46:06Z","timestamp":1379529966000},"page":"96-107","update-policy":"http:\/\/dx.doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["The properties of collision branching processes with immigration and instantaneous resurrection"],"prefix":"10.1016","volume":"224","author":[{"given":"Juan","family":"Wang","sequence":"first","affiliation":[]},{"given":"Junping","family":"Li","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/j.amc.2013.08.038_b0005","doi-asserted-by":"crossref","first-page":"1033","DOI":"10.1239\/jap\/1101840549","article-title":"The collision branching process","volume":"41","author":"Chen","year":"2004","journal-title":"Appl. Probab. Trust"},{"key":"10.1016\/j.amc.2013.08.038_b0010","first-page":"1546","article-title":"General collision branching processes with two parameters","volume":"52","author":"Chen","year":"2009","journal-title":"Math. Comput. Model."},{"key":"10.1016\/j.amc.2013.08.038_b0015","doi-asserted-by":"crossref","first-page":"511","DOI":"10.1007\/s11009-009-9121-y","article-title":"Uniqueness, extinction and explosivity of generalised markov branching processes with pairwise interaction","volume":"12","author":"Chen","year":"2010","journal-title":"Methods Comput. Appl. Probab."},{"key":"10.1016\/j.amc.2013.08.038_b0020","series-title":"The Theory of Branching Processes","author":"Harris","year":"1963"},{"key":"10.1016\/j.amc.2013.08.038_b0025","series-title":"Branching Processes","author":"Athreya","year":"1972"},{"key":"10.1016\/j.amc.2013.08.038_b0030","series-title":"Continuous-time Markov Chains: An Applications-oriented Approach","author":"Anderson","year":"1991"},{"key":"10.1016\/j.amc.2013.08.038_b0035","first-page":"139","article-title":"Markov branching processes with immigration and resurrection","volume":"12","author":"Li","year":"2006","journal-title":"Ann. Markov Proc. Rel. Fields"},{"key":"10.1016\/j.amc.2013.08.038_b0040","doi-asserted-by":"crossref","first-page":"1266","DOI":"10.1007\/s11425-008-0027-x","article-title":"Markov branching processes with immigration and instantaneous resurrection","volume":"51","author":"Li","year":"2008","journal-title":"Sci. China (Ser. A)"},{"key":"10.1016\/j.amc.2013.08.038_b0045","first-page":"139","article-title":"Denumberable Markov processes and the associated contraction semigroups on l","volume":"12","author":"Reuter","year":"2006","journal-title":"Markov Proc. Rel. Fields"},{"key":"10.1016\/j.amc.2013.08.038_b0050","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1007\/BF01198430","article-title":"Markov branching processes with instantaneous immigration","volume":"87","author":"Chen","year":"1990","journal-title":"Prob. Theory Rel. Fields"},{"key":"10.1016\/j.amc.2013.08.038_b0055","doi-asserted-by":"crossref","first-page":"1603","DOI":"10.1016\/j.spl.2013.03.015","article-title":"Uniqueness, recurrence and decay properties of collision branching processes with immigration","volume":"83","author":"Wang","year":"2013","journal-title":"Statist. Probab. Lett."},{"key":"10.1016\/j.amc.2013.08.038_b0060","series-title":"From Markov chains to non-equilibrium particle systems","author":"Chen","year":"1992"},{"key":"10.1016\/j.amc.2013.08.038_b0065","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1112\/jlms\/s1-37.1.63","article-title":"Denumberable Markov processes III","volume":"37","author":"Reuter","year":"1962","journal-title":"J. London Math. Soc."},{"key":"10.1016\/j.amc.2013.08.038_b0070","doi-asserted-by":"crossref","first-page":"488","DOI":"10.1090\/S0002-9947-1940-0002697-3","article-title":"On the integro-differential equations of purely discontinuous Markov processes","volume":"48","author":"Feller","year":"1940","journal-title":"Trans. Amer. Math. Soc."}],"container-title":["Applied Mathematics and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300313009065?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300313009065?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2020,5,8]],"date-time":"2020-05-08T21:39:58Z","timestamp":1588973998000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0096300313009065"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,11]]},"references-count":14,"alternative-id":["S0096300313009065"],"URL":"https:\/\/doi.org\/10.1016\/j.amc.2013.08.038","relation":{},"ISSN":["0096-3003"],"issn-type":[{"value":"0096-3003","type":"print"}],"subject":[],"published":{"date-parts":[[2013,11]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"The properties of collision branching processes with immigration and instantaneous resurrection","name":"articletitle","label":"Article Title"},{"value":"Applied Mathematics and Computation","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.amc.2013.08.038","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"Copyright \u00a9 2013 Elsevier Inc. All rights reserved.","name":"copyright","label":"Copyright"}]}}