广义的戈登—舍费尔最优收获策略随机变化环境中的模型
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摘要
提出了一种用于鱼类捕捞的非线性随机模型,该模型包括戈登—舍费尔模型和佩拉—汤姆林森模型,这些模型用于研究长须鲸、竖琴海豹和圣劳伦斯鳕鱼湾的大量数据。已经确定,从生物量方面来说,收集这些物种更有利。
A non-linear stochastic model has been proposed in an analysis of fish harvesting. The model encompasses Gordon-Schaefer model and Pella-Tomlinson model that have been used in the study of extensive data on baleen whales, harp seals and Gulf of St. Lawrence cod. It is confirmed that the harvesting of those species which is more profitable in terms of biomass for the data supports.
A non-linear stochastic model has been proposed in an analysis of fish harvesting. The model encompasses Gordon-Schaefer model and Pella-Tomlinson model that have been used in the study of extensive data on baleen whales, harp seals and Gulf of St. Lawrence cod. It is confirmed that the harvesting of those species which is more profitable in terms of biomass for the data supports.
引文
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[5] Schaefer M B.Some aspects of the dynamics of populations important to the management of commercial marine fisheries[J].Bull.Inter Am Trop.Tuna.Comm.,1954(1):27-56.
[6] Reed J.William.Optimal harvesting of a fishery subject to random catastrophic collapse[J].IMA Jornal of Mathematics Applied in Medicine & Biology,1988(5):215-235.
[7] Goh C J.Species preservation in an optimal harvest model with ranom prices[J].Mathematical Bio-sciences,1989(95):125-138.
[8] Pella J J.Tomlinson P K.A generalized stock production model[J].Intern Amer,Trop,Tuna Comm.,1969,13(3):419-496.
[9] Shah M A,Sharma U.Management and Maintenance of Forestry:A catastrophic stochastic analysis[J].Natural,2001:49-64.
[10] Shah M A,Talukder M H.Forest Management:An application of catastrophe theory to the budworm population[J].Journal of Statistical Studies,1997(17):21-28.
[11] Holt S J.Aspects of determining the stock level for maximum sustainable yield[J].1975.
[12] Lett.P F,Doubleday W G.The influence of fluctuations in recruitment on fisheries management strategy,with special reference to southern Gulf of St.Lawrence cod[J].International Commission for the Northwest Atlantic Fisheries Special Publication,1976(1):171-193.
[13] Abakuks A,Prajneshu.An optimal harvesting policy for logistic model in a randomly varying environment[J].Mathematical Bio-Sciences,1981(55):169-177.
[14] Shah A.Harvesting fish population in randomly varying environment[J].Pakistan Journal of Statistics,2001,17(2):163-175.
[2] Beverton R J H,Holt S J.On the dynamics of exploited fish populations[J].Ministry of Agriculture,Fisheries and Food(London),Fisheries Investigations Series,1957:2(19):533.
[3] Ricker W E.Critical statistics from reproductive Rapports et Proces Verbaux des Reunions[J].Conseil International pourl’Exploration de la ner,1973(164):333-340.
[4] May R M.Thresholds and breakpoints in ecosystems with a multiplicity of stable states[J].Nature,1977(269):471-477.
[5] Schaefer M B.Some aspects of the dynamics of populations important to the management of commercial marine fisheries[J].Bull.Inter Am Trop.Tuna.Comm.,1954(1):27-56.
[6] Reed J.William.Optimal harvesting of a fishery subject to random catastrophic collapse[J].IMA Jornal of Mathematics Applied in Medicine & Biology,1988(5):215-235.
[7] Goh C J.Species preservation in an optimal harvest model with ranom prices[J].Mathematical Bio-sciences,1989(95):125-138.
[8] Pella J J.Tomlinson P K.A generalized stock production model[J].Intern Amer,Trop,Tuna Comm.,1969,13(3):419-496.
[9] Shah M A,Sharma U.Management and Maintenance of Forestry:A catastrophic stochastic analysis[J].Natural,2001:49-64.
[10] Shah M A,Talukder M H.Forest Management:An application of catastrophe theory to the budworm population[J].Journal of Statistical Studies,1997(17):21-28.
[11] Holt S J.Aspects of determining the stock level for maximum sustainable yield[J].1975.
[12] Lett.P F,Doubleday W G.The influence of fluctuations in recruitment on fisheries management strategy,with special reference to southern Gulf of St.Lawrence cod[J].International Commission for the Northwest Atlantic Fisheries Special Publication,1976(1):171-193.
[13] Abakuks A,Prajneshu.An optimal harvesting policy for logistic model in a randomly varying environment[J].Mathematical Bio-Sciences,1981(55):169-177.
[14] Shah A.Harvesting fish population in randomly varying environment[J].Pakistan Journal of Statistics,2001,17(2):163-175.