| 价格成本变化的Gompertz系统的捕获问题 |
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| 引用本文： | 高海音,朱天晓.价格成本变化的Gompertz系统的捕获问题[J].长春大学学报,1999,9(3):13-14. |
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| 作者姓名： | 高海音 朱天晓 |
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| 作者单位： | 长春大学师范学院!长春130022(高海音，敬石心)，吉林省经济干部管理学院!长春130012(朱天晓) |
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| 基金项目： | 吉林省教委科研基金资助课题 !992 5 |
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| 摘 要： | 研究了具有Gompertz增长的生物种群 ,建立了价格成本变化的数学生物经济捕获模型。利用常微分方程定性理论对模型进行定性分析 ,证明平衡点的存在性、局部稳定性及极限环的不存在性 ,给出了获得单位努力量最大利润的条件。
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| 关 键 词： | Gompertz系统 捕获问题 价格 成本 种群模型 |
Harvesting in gompertz system with variable price and cost |
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| GAO Hai yin JING Shi xin Teachers College,Changchun University,Changchun ZHU Tian xiao Economy Management College,Jilin,Changchun.Harvesting in gompertz system with variable price and cost[J].Journal of Changchun University,1999,9(3):13-14. |
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| Authors: | GAO Hai yin JING Shi xin Teachers College Changchun University Changchun ZHU Tian xiao Economy Management College Jilin Changchun |
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| Institution: | GAO Hai yin JING Shi xin Teachers College,Changchun University,Changchun 130022 ZHU Tian xiao Economy Management College,Jilin,Changchun 130012 |
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| Abstract: | In this paper we study the biocenosis which possesses Gompertz growth and set up the harvesting model of mathematical bioeconomics with variable price and cost.By means of the qualitative analysis of the of the ordinary differential equation,we prove the existence of equilibrium point,local stability and unexistence of limit cycle.The condition of which maximizes profit of unit is obtained. |
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| Keywords: | price cost pure compensation stability limit cycle |
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