{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:16:55Z","timestamp":1760239015471,"version":"build-2065373602"},"reference-count":22,"publisher":"MDPI AG","issue":"17","license":[{"start":{"date-parts":[[2022,8,29]],"date-time":"2022-08-29T00:00:00Z","timestamp":1661731200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"FCT\/MCTES","award":["CEMAPRE\/REM-UIDB\/05069\/2020","EXPL\/EGE-IND\/0351\/2021"],"award-info":[{"award-number":["CEMAPRE\/REM-UIDB\/05069\/2020","EXPL\/EGE-IND\/0351\/2021"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematics"],"abstract":"<jats:p>We describe the growth dynamics of a stock using stochastic differential equations with a generalized logistic growth model which encompasses several well-known growth functions as special cases. For each model, we compute the optimal variable effort policy and compare the expected net present value of the total profit earned by the harvester among policies. In addition, we further extend the study to include parameters sensitivity, such as the costs and volatility, and present an explicitly Crank\u2013Nicolson discretization scheme necessary to obtain optimal policies.<\/jats:p>","DOI":"10.3390\/math10173098","type":"journal-article","created":{"date-parts":[[2022,8,29]],"date-time":"2022-08-29T22:53:42Z","timestamp":1661813622000},"page":"3098","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Optimal Harvesting of Stochastically Fluctuating Populations Driven by a Generalized Logistic SDE Growth Model"],"prefix":"10.3390","volume":"10","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5719-6310","authenticated-orcid":false,"given":"Nuno M.","family":"Brites","sequence":"first","affiliation":[{"name":"ISEG-School of Economics and Management, Universidade de Lisboa, 1649-004 Lisbon, Portugal"},{"name":"REM\u2014Research in Economics and Mathematics, CEMAPRE, Rua do Quelhas, 6, Gabinete 503, 1200-781 Lisboa, Portugal"}]}],"member":"1968","published-online":{"date-parts":[[2022,8,29]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"463","DOI":"10.1126\/science.197.4302.463","article-title":"Harvesting natural populations in a randomly fluctuating environment","volume":"197","author":"Beddington","year":"1977","journal-title":"Science"},{"key":"ref_2","unstructured":"Clark, C.W. 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