公元1798年,英国人口学家、政治经济学家托马斯·罗伯特·马尔萨斯(Thomas Robert Malthus)出版了令其声名远播且备受争议的《人口原理》(An Essay on the Principle of Population)一书,标志着人口学在西方形成为独立的社会学...公元1798年,英国人口学家、政治经济学家托马斯·罗伯特·马尔萨斯(Thomas Robert Malthus)出版了令其声名远播且备受争议的《人口原理》(An Essay on the Principle of Population)一书,标志着人口学在西方形成为独立的社会学科。自马尔萨斯提出"总人口理论"(Total Population Theory)以来,或为了证实,或为了证伪该理论,人们对历史人口变化产生了浓厚的兴趣。展开更多
This paper investigates the theoretical aspects for an optimal harvesting problem of a nonlinear size-structured population model in a periodic environment. We establish the well-posedness of the state system by means...This paper investigates the theoretical aspects for an optimal harvesting problem of a nonlinear size-structured population model in a periodic environment. We establish the well-posedness of the state system by means of frozen coefficients and fixed point reasoning. The existence of a unique optimal policy is proved via Ekeland's variational principle, and the first-order optimality conditions are derived by a suitable normM cone and a dual system. The results obtained would be beneficial for exploration of renewable展开更多
文摘公元1798年,英国人口学家、政治经济学家托马斯·罗伯特·马尔萨斯(Thomas Robert Malthus)出版了令其声名远播且备受争议的《人口原理》(An Essay on the Principle of Population)一书,标志着人口学在西方形成为独立的社会学科。自马尔萨斯提出"总人口理论"(Total Population Theory)以来,或为了证实,或为了证伪该理论,人们对历史人口变化产生了浓厚的兴趣。
文摘This paper investigates the theoretical aspects for an optimal harvesting problem of a nonlinear size-structured population model in a periodic environment. We establish the well-posedness of the state system by means of frozen coefficients and fixed point reasoning. The existence of a unique optimal policy is proved via Ekeland's variational principle, and the first-order optimality conditions are derived by a suitable normM cone and a dual system. The results obtained would be beneficial for exploration of renewable