{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,30]],"date-time":"2025-09-30T00:18:32Z","timestamp":1759191512010,"version":"3.37.3"},"reference-count":11,"publisher":"Vilnius Gediminas Technical University","issue":"2","funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11272277,11572278,61304175"],"award-info":[{"award-number":["11272277,11572278,61304175"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Innovative Research Team in University of Henan Province","award":["13IRTSTHN019"],"award-info":[{"award-number":["13IRTSTHN019"]}]},{"DOI":"10.13039\/501100004609","name":"Foundation of Henan Educational Committee","doi-asserted-by":"crossref","award":["15A110042"],"award-info":[{"award-number":["15A110042"]}],"id":[{"id":"10.13039\/501100004609","id-type":"DOI","asserted-by":"crossref"}]},{"name":"Doctoral Scientic research project of Huizhou University","award":["C5120201"],"award-info":[{"award-number":["C5120201"]}]},{"name":"the key project of Xuchang University","award":["2015109"],"award-info":[{"award-number":["2015109"]}]}],"content-domain":{"domain":["journals.vgtu.lt"],"crossmark-restriction":true},"short-container-title":[],"abstract":"<jats:p>In this paper we consider a Keller-Segel-type chemotaxis model with reaction term under no-flux boundary conditions, where the kinetics term of the system is power function. Assuming some growth conditions, the existence of bounded global strong solution to the parabolic-parabolic system is given. We also give the numerical test and find out that there exists a threshold. When the power frequency greater than the threshold, both global solution and blow-up solution exist.<\/jats:p>","DOI":"10.3846\/13926292.2017.1292323","type":"journal-article","created":{"date-parts":[[2017,3,18]],"date-time":"2017-03-18T13:28:59Z","timestamp":1489843739000},"page":"237-251","update-policy":"https:\/\/doi.org\/10.3846\/mma_policy","source":"Crossref","is-referenced-by-count":1,"title":["GLOBAL EXISTENCE AND BLOW-UP FOR A CHEMOTAXIS SYSTEM"],"prefix":"10.3846","volume":"22","author":[{"given":"Xueyong","family":"Chen","sequence":"first","affiliation":[{"name":"Xuchang University"}]},{"given":"Fuxing","family":"Hu","sequence":"additional","affiliation":[{"name":"Huizhou University"}]},{"given":"Jianhua","family":"Zhang","sequence":"additional","affiliation":[{"name":"Jiangsu Normal University"}]},{"given":"Jianwei","family":"Shen","sequence":"additional","affiliation":[{"name":"Xuchang University"}]}],"member":"2209","published-online":{"date-parts":[[2017,3,18]]},"reference":[{"key":"CIT0001","doi-asserted-by":"publisher","DOI":"10.1142\/S021820251550044X"},{"issue":"4","key":"CIT0002","doi-asserted-by":"crossref","first-page":"1365","DOI":"10.1016\/S0252-9602(12)60105-2","volume":"32","author":"Chen X.Y.","year":"2012","journal-title":"Acta Mathematica Scientia"},{"key":"CIT0003","doi-asserted-by":"publisher","DOI":"10.6023\/A1112251"},{"issue":"3","key":"CIT0004","doi-asserted-by":"crossref","first-page":"253","DOI":"10.15388\/NA.17.3.14054","volume":"17","author":"\u010ciegis R.","year":"2012","journal-title":"Nonlinear Analysis: Modelling and Control"},{"key":"CIT0005","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2004.10.022"},{"key":"CIT0006","doi-asserted-by":"publisher","DOI":"10.1016\/0022-5193(70)90092-5"},{"issue":"1","key":"CIT0007","first-page":"21","volume":"278","author":"Mora X.","year":"1983","journal-title":"Transactions of the American Mathematical Society"},{"key":"CIT0008","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-5561-1"},{"key":"CIT0009","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2011.07.010"},{"key":"CIT0010","doi-asserted-by":"publisher","DOI":"10.1080\/03605302.2011.591865"},{"key":"CIT0011","doi-asserted-by":"publisher","DOI":"10.1016\/j.matpur.2013.01.020"}],"container-title":["Mathematical Modelling and Analysis"],"original-title":[],"link":[{"URL":"https:\/\/journals.vilniustech.lt\/index.php\/MMA\/article\/view\/893\/673","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,4,22]],"date-time":"2022-04-22T13:15:14Z","timestamp":1650633314000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.vilniustech.lt\/index.php\/MMA\/article\/view\/893"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,3,18]]},"references-count":11,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2017,3,18]]}},"URL":"https:\/\/doi.org\/10.3846\/13926292.2017.1292323","relation":{},"ISSN":["1392-6292","1648-3510"],"issn-type":[{"type":"print","value":"1392-6292"},{"type":"electronic","value":"1648-3510"}],"subject":[],"published":{"date-parts":[[2017,3,18]]},"assertion":[{"value":"Vilnius Gediminas Technical University","name":"this_article_is_maintained_by","label":"This article is maintained by"},{"value":"Research Article","name":"content_type","label":"Content Type"},{"value":"Yes","name":"crosschecked","label":"CrossChecked"},{"value":"Yes","order":0,"name":"peer_reviewed","label":"Peer Reviewed","group":{"name":"peer_review","label":"Peer Review"}},{"value":"Double blind","order":1,"name":"review_process","label":"Review Process","group":{"name":"peer_review","label":"Peer Review"}},{"value":"2016-07-16","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2017-01-21","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2017-03-18","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}},{"value":"@ 2017 Vilnius Gediminas Technical University Press","order":0,"name":"copyright","label":"Copyright","group":{"name":"copyright_and_licensing","label":"Copyright and Licensing"}}]}}