{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,9]],"date-time":"2025-10-09T00:36:11Z","timestamp":1759970171880,"version":"build-2065373602"},"reference-count":26,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2025,1,8]],"date-time":"2025-01-08T00:00:00Z","timestamp":1736294400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Doctor Training Program of Jiyang College, Zhejiang Agriculture and Forestry University","award":["RC2022D03","2022","HAB202357"],"award-info":[{"award-number":["RC2022D03","2022","HAB202357"]}]},{"DOI":"10.13039\/501100013088","name":"Qinglan Project of Jiangsu Province of China","doi-asserted-by":"publisher","award":["RC2022D03","2022","HAB202357"],"award-info":[{"award-number":["RC2022D03","2022","HAB202357"]}],"id":[{"id":"10.13039\/501100013088","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Huai\u2019an City Science and Technology Project","award":["RC2022D03","2022","HAB202357"],"award-info":[{"award-number":["RC2022D03","2022","HAB202357"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this note, we investigate the existence and asymptotic property of positive periodic solutions to non-autonomous predator-prey system with stage-structured predator on time scales. Via Schauder\u2019s fixed theorem, easily verifiable sufficient existence conditions of positive periodic solutions for the considered system are obtained. We also study asymptotic property of positive periodic solutions on the basis of existence conditions. Due to the symmetry of periodic solutions, the results of this paper have a certain impact on the study of symmetry. It should be pointed out that the system we are studying is built on arbitrary time scale, so our results generalize the results of existing continuous or discrete systems. Furthermore, we develop Schauder\u2019s fixed theorem for studying the delay system on time scales.<\/jats:p>","DOI":"10.3390\/sym17010086","type":"journal-article","created":{"date-parts":[[2025,1,8]],"date-time":"2025-01-08T09:30:45Z","timestamp":1736328645000},"page":"86","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Positive Periodic Solutions of Non-Autonomous Predator-Prey System with Stage-Structured Predator on Time Scales"],"prefix":"10.3390","volume":"17","author":[{"given":"Jing","family":"Ge","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Huaiyin Normal University, Huaian 223300, China"}]},{"given":"Xiaoliang","family":"Li","sequence":"additional","affiliation":[{"name":"Jiyang College, Zhejiang Agriculture and Forestry University, Zhuji 311800, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4484-8789","authenticated-orcid":false,"given":"Bo","family":"Du","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Huaiyin Normal University, Huaian 223300, China"}]},{"given":"Tao","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Huaiyin Normal University, Huaian 223300, China"}]}],"member":"1968","published-online":{"date-parts":[[2025,1,8]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"3298","DOI":"10.1016\/j.camwa.2011.04.025","article-title":"Periodic solutions for a delayed predator-prey system with stage-structured predator on time scales","volume":"61","author":"Zeng","year":"2011","journal-title":"Comput. 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