{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:39:52Z","timestamp":1760146792688,"version":"build-2065373602"},"reference-count":34,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2024,12,15]],"date-time":"2024-12-15T00:00:00Z","timestamp":1734220800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Ningxia Natural Science Foundation","award":["2023AAC03277","NYG2024083","2021KYQD33"],"award-info":[{"award-number":["2023AAC03277","NYG2024083","2021KYQD33"]}]},{"name":"Scientific research projects in higher education institutions","award":["2023AAC03277","NYG2024083","2021KYQD33"],"award-info":[{"award-number":["2023AAC03277","NYG2024083","2021KYQD33"]}]},{"name":"Research Start-Up Project of North Minze University","award":["2023AAC03277","NYG2024083","2021KYQD33"],"award-info":[{"award-number":["2023AAC03277","NYG2024083","2021KYQD33"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>We present a numerical algorithm for a stochastic age-dependent cooperative Lotka\u2013Volterra system that incorporates a partially truncated function. Since it is challenging to obtain the real solution for this system, and traditional numerical algorithms often experience blow-up phenomena, we design a partially truncated algorithm to ensure the solution remains well behaved. We further establish the convergence of the algorithm and obtain its convergence order. Finally, numerical simulations are presented to demonstrate our theoretical findings.<\/jats:p>","DOI":"10.3390\/sym16121659","type":"journal-article","created":{"date-parts":[[2024,12,16]],"date-time":"2024-12-16T06:48:39Z","timestamp":1734331719000},"page":"1659","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Convergence Rates of Partial Truncated Numerical Algorithm for Stochastic Age-Dependent Cooperative Lotka\u2013Volterra System"],"prefix":"10.3390","volume":"16","author":[{"given":"Mengqing","family":"Zhang","sequence":"first","affiliation":[{"name":"School of Mathematics and Information Science, North Minzu University, Yinchuan 750021, China"},{"name":"MOE-LCSM, School of Mathematics and Statistics, Hunan Normal University, Changsha 410081, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3130-4923","authenticated-orcid":false,"given":"Quanxin","family":"Zhu","sequence":"additional","affiliation":[{"name":"MOE-LCSM, School of Mathematics and Statistics, Hunan Normal University, Changsha 410081, China"}]},{"given":"Jing","family":"Tian","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Towson University, Towson, MD 21252, USA"}]}],"member":"1968","published-online":{"date-parts":[[2024,12,15]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"103382","DOI":"10.1016\/j.bulsci.2023.103382","article-title":"Global dynamics of 3D cooperative Lotka-Volterra system with the identical intrinsic growth rate","volume":"191","author":"Liang","year":"2024","journal-title":"Bull. 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