Impulse controls in optimal harvesting of age-structured populations  

作　　者：Natali Hritonenko Nobuyuki Kato Yuri Yatsenko 

机构地区：[1]Department of Mathematics,Prairie View A&M University PrairieView,TX77446,USA [2]Faculty of Electrical and Computer Engineering Kanazawa University,Kanazawa,920-1192,Japan [3]Dunham College of Business,Houston Baptist University 7502Fondren,Houston TX 77074,USA

出　　处：《International Journal of Biomathematics》2023年第7期197-218,共22页生物数学学报（英文版）

摘　　要：A nonlinear optimal control problem in the Lotka-McKendrick population model is studied.It describes rational management of age-structured farmed populations in aquaculture and indoor farms.Employing generalized functions,we prove the impulse nature of optimal harvesting.Exact analytic solutions for sustainable harvesting strategies are obtained and used to analyze the optimal dynamics of harvesting age and rotation under technological innovations.

关 键 词：Age-structured populations AQUACULTURE optimal harvesting relaxed optimal controls Dirac measure 

分 类 号：O175[理学—数学]