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具阶段结构两种群竞争模型的最优捕获
引用本文:颜未霖. 具阶段结构两种群竞争模型的最优捕获[J]. 山西大同大学学报(自然科学版), 2013, 0(5): 10-12
作者姓名:颜未霖
作者单位:兰州交通大学数理学院,甘肃兰州730070
摘    要:对一类具有阶段结构的两种群竞争模型进行了分析,讨论了该系统正平衡点的局部稳定性,得到了该系统唯一正平衡点全局渐进稳定的条件,由最优控制理论获得了最优捕获策略。

关 键 词:竞争  阶段结构  全局渐进稳定  最优捕获

Optimal Harvesting of Two Species Competitive Model with a Stage-structure
YAN Wei-lin. Optimal Harvesting of Two Species Competitive Model with a Stage-structure[J]. Journal of Shanxi Datong University(Natural Science Edition), 2013, 0(5): 10-12
Authors:YAN Wei-lin
Affiliation:YAN Wei-lin (School of Mathematics, Lanzhou Jiaotong University, Lanzhou Gansu, 730070)
Abstract:A class of two species and competitive model with a stage-structure is considered. The local stability of the unique the positive equilibrium are discussed. Some conditions for global asymptotic stability of the unique positive equilibrium are obtained.The optimal harvesting strategy is gained by the optimal control theory.
Keywords:competitive model  stage-structure  globally asymptotical stability  optimal harvesting
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