基于年龄结构的单种群模型捕获的优化问题

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摘要文中建立单种群阶段结构模型,利用脉冲微分方程的比较原理,通过状态反馈和输出反馈对模型变换后的系统进行了脉冲控制.分别对其幼年种群和成年种群捕获问题,给出以最大捕获可持续均衡收获(MSY)为目标的最优捕获策略.

作者张安梅初颖白素良

机构地区通化师范学院数学系

出处《通化师范学院学报》 2010年第8期3-5,共3页 Journal of Tonghua Normal University

关键词年龄结构种群模型最优捕获努力量

参考文献5

1张安梅,于书敏.基于年龄结构的种群系统的最优收获控制[J].数学的实践与认识,2009,39(24):10-15. 被引量：1
2Chen L S. Models and research methods of mathematical ecology[M]. Beijing: Science press, 1998. 199 -231.
3Chen L S, Chen J. Nonlinear biodynamical system[M]. Beijing: Science press, 1993. 215 -226.
4Clark C W. Mathematical biocenology the optimal management of renew able resource[ M ]. New York:John Wiley & Sons, 1990. 245 -296.
5Song X Y, Chen L S. Optimal harvesting policy for a two species competitive system with stage structure [ J]. Mathematical Biosciences.

1于书敏.单种群阶段结构的生育脉冲模型[J].数学的实践与认识,2006,36(4):23-28. 被引量：12
2Chen L S. Models and Research Methods of Mathematical Ecology[M]. Beijing: Science Press, 1998. 199-231.
3Song X Y, Chen L S. Optimal harvesting policy for a two species competitive system with stage strtlcture[J]. Mathematical Biosciences, 2001, 179: 173-186.
4Chen L S, Chen J. Nonlinear Biodynamical System[M]. Beijing: Science Press, 1993. 215-226.
5Clark C W. Mathematical Biocenology the Optimal Management of Renew Able Resource[M]. New York: John Wiley & Sons, 1990. 245-296.
6Zhang X A, Chen L S, Neumann A. The stage structured predator prey model and optimal harvesting policy[J]. Mathematical Biosciences, 2000, 168 : 201-210.

通化师范学院学报

2010年第8期

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