{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:30:55Z","timestamp":1760146255323,"version":"build-2065373602"},"reference-count":15,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2024,10,21]],"date-time":"2024-10-21T00:00:00Z","timestamp":1729468800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Doctoral Training Program of Jiyang College, Zhejiang Agriculture and Forestry University","award":["RC2022D03","2024AH051122","ZK202302ZD"],"award-info":[{"award-number":["RC2022D03","2024AH051122","ZK202302ZD"]}]},{"name":"key program of the Anhui University Natural Sciences fund","award":["RC2022D03","2024AH051122","ZK202302ZD"],"award-info":[{"award-number":["RC2022D03","2024AH051122","ZK202302ZD"]}]},{"name":"Anqing Normal University Campus Key Project","award":["RC2022D03","2024AH051122","ZK202302ZD"],"award-info":[{"award-number":["RC2022D03","2024AH051122","ZK202302ZD"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this paper, we focus on the existence of positive periodic solutions of generalized Leslie\u2013Gower-type population models. Using the topological degree, we provide sufficient conditions to demonstrate the existence of positive periodic solutions to the considered models. It is interesting that the positive periodic solutions in this paper are general positive functions, not e exponential functions, which generalizes and improves the existing results. We note that due to the symmetrical property of periodic solutions, the results of this paper provide a deeper understanding of the periodic behavior of biological populations. Two numerical examples show the effectiveness of our main results.<\/jats:p>","DOI":"10.3390\/sym16101399","type":"journal-article","created":{"date-parts":[[2024,10,21]],"date-time":"2024-10-21T08:53:11Z","timestamp":1729500791000},"page":"1399","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["New Results Regarding Positive Periodic Solutions of Generalized Leslie\u2013Gower-Type Population Models"],"prefix":"10.3390","volume":"16","author":[{"given":"Axiu","family":"Shu","sequence":"first","affiliation":[{"name":"Department of Mathematics and Physics, Anqing Normal University, Anqing 246133, 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"}]}],"member":"1968","published-online":{"date-parts":[[2024,10,21]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"213","DOI":"10.1093\/biomet\/35.3-4.213","article-title":"Some further notes on the use of matrices in population mathematics","volume":"35","author":"Leslie","year":"1948","journal-title":"Biometrica"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"219","DOI":"10.1093\/biomet\/47.3-4.219","article-title":"The properties of a stochastic model for the predator-prey type of interaction between two species","volume":"47","author":"Leslie","year":"1960","journal-title":"Biometrica"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"2450086","DOI":"10.1142\/S021812742450086X","article-title":"Slow-Fast Dynamics of a Piecewise-Smooth Leslie-Gower Model with Holling Type-I Functional Response and Weak Allee Effect","volume":"34","author":"Wu","year":"2024","journal-title":"Int. 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Real World Appl."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"400","DOI":"10.1016\/j.jmaa.2011.05.081","article-title":"Existence and global attractivity of positive periodic solutions for a predator-prey model with modified Leslie-Gower Holling-type II schemes","volume":"384","author":"Zhu","year":"2011","journal-title":"J. Math. Anal. Appl."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"1275","DOI":"10.1016\/S0960-0779(02)00079-6","article-title":"Study of a Leslie-Gower-type tritrophic population model","volume":"14","year":"2002","journal-title":"Chaos Solitons Fractals"},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Amster, P. (2014). Topological Methods in the Study of Boundary Value Problems, Universitext, Springer.","DOI":"10.1007\/978-1-4614-8893-4"}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/16\/10\/1399\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T16:17:25Z","timestamp":1760113045000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/16\/10\/1399"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,10,21]]},"references-count":15,"journal-issue":{"issue":"10","published-online":{"date-parts":[[2024,10]]}},"alternative-id":["sym16101399"],"URL":"https:\/\/doi.org\/10.3390\/sym16101399","relation":{},"ISSN":["2073-8994"],"issn-type":[{"type":"electronic","value":"2073-8994"}],"subject":[],"published":{"date-parts":[[2024,10,21]]}}}