{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T01:42:00Z","timestamp":1777599720535,"version":"3.51.4"},"reference-count":39,"publisher":"Walter de Gruyter GmbH","issue":"3","funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12161068"],"award-info":[{"award-number":["12161068"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004772","name":"Natural Science Foundation of Ningxia Province","doi-asserted-by":"publisher","award":["2020AAC03065"],"award-info":[{"award-number":["2020AAC03065"]}],"id":[{"id":"10.13039\/501100004772","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004772","name":"Natural Science Foundation of Ningxia Province","doi-asserted-by":"publisher","award":["2021AAC03022"],"award-info":[{"award-number":["2021AAC03022"]}],"id":[{"id":"10.13039\/501100004772","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2022,7,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>In this paper, a stochastic age-structured HIV\/AIDS model with nonlinear incidence rates is proposed.\nIt is of great importance to develop efficient numerical approximation methods to solve this HIV\/AIDS model since most stochastic partial differential equations (SPDEs) cannot be solved analytically.\nFrom the perspective of biological significance, the exact solution of the HIV\/AIDS model must be nonnegative and bounded.\nThen a modified explicit Euler\u2013Maruyama (EM) scheme is constructed based on a projection operator.\nThe EM scheme could preserves the nonnegativity of the numerical solutions and also make the numerical solutions not outside the domain of the exact solutions.\nThe convergence results between the numerical solutions and the exact solutions are analyzed, and some numerical examples are given to verify our theoretical results.<\/jats:p>","DOI":"10.1515\/cmam-2021-0154","type":"journal-article","created":{"date-parts":[[2022,3,9]],"date-time":"2022-03-09T01:16:02Z","timestamp":1646788562000},"page":"685-712","source":"Crossref","is-referenced-by-count":3,"title":["The Numerical Approximation to a Stochastic Age-Structured HIV\/AIDS Model with Nonlinear Incidence Rates"],"prefix":"10.1515","volume":"22","author":[{"given":"Jie","family":"Ren","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics , Ningxia University , Yinchuan 750021 , P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Huaimin","family":"Yuan","sequence":"additional","affiliation":[{"name":"School of Information Engineering , Ningxia University , Yinchuan 750021 , P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qimin","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics , Ningxia University , Yinchuan 750021 , P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2022,3,9]]},"reference":[{"key":"2023033112440995566_j_cmam-2021-0154_ref_001","doi-asserted-by":"crossref","unstructured":"R. M. Anderson, G. F. Medley, R. M. May and A. M. Johnson,\nA preliminary study of the transmission dynamics of the human immunodeficiency virus (HIV), the causative agent of AIDS,\nIMA J. Math. Appl. Med. 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