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一类n维互惠模型的最优捕获问题

发表时间:2009-07-15  浏览量:1386  下载量:398
全部作者: 李珍,张建勋
作者单位: 宁波大学理学院
摘 要: 对一类修正的n维Gilpin-Ayala互惠种群系统中的n个种群同时进行捕获,在考虑捕获费用的情况下,寻求一个最优的捕获策略。系统中的种群都服从m维的随机Brownian运动,种群大小由n个随机微分方程给出,捕获费用是随着种群大小变化的变量。通过构造一个随机控制问题,探讨了贴现总捕获利润期望最大时的捕获策略,得到最优捕获策略和相应的最优捕获利润函数,并证明了所得结论。
关 键 词: 生物数学;最优捕获问题;随机微分方程;互惠模型;捕获费用
Title: Optimal harvesting from a kind of n dimensional mutualism model
Author: LI Zhen, ZHANG Jianxun
Organization: Faculty of Science, Ningbo University
Abstract: Considering a kind of modificatory n dimensions Gilpin-Ayala mutualism models, whose sizes are given by stochastic differential equations driven by m dimensional Brownian motion, this paper studies the problem on optimal harvesting from the n populations that maximizes the expected total income from the harvest with cost, which are different with the sizes. By formulating a stochastic control problem, it obtains the optimal harvesting strategy and the corresponding optimal harvesting profit function explicitly. At last, it proves the theories.
Key words: biomathematics; optimal harvesting problem; stochastic differential equation; mutualism model; harvesting cost
发表期数: 2009年7月第13期
引用格式: 李珍,张建勋. 一类n维互惠模型的最优捕获问题[J]. 中国科技论文在线精品论文,2009,2(13):1345-1349.
 
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