{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T02:08:35Z","timestamp":1740103715209,"version":"3.37.3"},"reference-count":23,"publisher":"Wiley","license":[{"start":{"date-parts":[[2020,9,25]],"date-time":"2020-09-25T00:00:00Z","timestamp":1600992000000},"content-version":"unspecified","delay-in-days":0,"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":["11572288","LY20A020003"],"award-info":[{"award-number":["11572288","LY20A020003"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004731","name":"Natural Science Foundation of Zhejiang Province","doi-asserted-by":"publisher","award":["11572288","LY20A020003"],"award-info":[{"award-number":["11572288","LY20A020003"]}],"id":[{"id":"10.13039\/501100004731","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2020,9,25]]},"abstract":"<jats:p>In this paper, we consider two kinds of time-delay slow-fast modified Leslie-Gower models. For the first system, we prove the existence and uniqueness of relaxation oscillation cycle through the geometric singular perturbation theory and entry-exit function. For the second system, we put forward a conjecture that the relaxation oscillation of the system is unique. Numerical simulation also verifies our results for the systems.<\/jats:p>","DOI":"10.1155\/2020\/1351397","type":"journal-article","created":{"date-parts":[[2020,9,25]],"date-time":"2020-09-25T23:31:20Z","timestamp":1601076680000},"page":"1-11","source":"Crossref","is-referenced-by-count":1,"title":["Relaxation Oscillations and Dynamical Properties in Two Time-Delay Slow-Fast Modified Leslie-Gower Models"],"prefix":"10.1155","volume":"2020","author":[{"given":"Yufeng","family":"Wang","sequence":"first","affiliation":[{"name":"College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua 321004, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4562-9841","authenticated-orcid":true,"given":"Youhua","family":"Qian","sequence":"additional","affiliation":[{"name":"College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua 321004, China"}]},{"given":"Bingwen","family":"Lin","sequence":"additional","affiliation":[{"name":"College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua 321004, China"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1016\/s0893-9659(03)90096-6"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2011.05.081"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0396(79)90152-9"},{"year":"2015","key":"4"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1007\/s00285-009-0266-7"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1007\/bfb0095239"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1006\/jdeq.2000.3778"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1007\/s10884-006-9020-7"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1137\/s0036141099360919"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1006\/jdeq.2000.3929"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2010.02.006"},{"issue":"11","key":"12","first-page":"142","volume":"114","year":"2012","journal-title":"Environmental Health Perspectives"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2007.08.011"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2007.10.021"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2018.07.029"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1142\/s0218127418501511"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1063\/1.5078814"},{"key":"18","doi-asserted-by":"crossref","first-page":"2853","DOI":"10.1088\/1361-6544\/ab7292","volume":"33","year":"2020","journal-title":"Nonlinearity"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1137\/17m1130010"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1016\/j.mbs.2017.11.003"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-020-05795-0"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2017.01.006"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2019.11.067"}],"container-title":["Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/1351397.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/1351397.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/1351397.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,4]],"date-time":"2021-04-04T07:34:20Z","timestamp":1617521660000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/complexity\/2020\/1351397\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,9,25]]},"references-count":23,"alternative-id":["1351397","1351397"],"URL":"https:\/\/doi.org\/10.1155\/2020\/1351397","relation":{},"ISSN":["1076-2787","1099-0526"],"issn-type":[{"type":"print","value":"1076-2787"},{"type":"electronic","value":"1099-0526"}],"subject":[],"published":{"date-parts":[[2020,9,25]]}}}