| 两企业竞争与合作的离散动力学模型的周期解 |
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| 引用本文： | 徐昌进.两企业竞争与合作的离散动力学模型的周期解[J].华侨大学学报(自然科学版),2012,33(3):337-341. |
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| 作者姓名： | 徐昌进 |
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| 作者单位： | 贵州财经大学贵州省经济系统仿真重点实验室,贵州贵阳,550004 |
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| 基金项目： | 国家自然科学基金资助项目，湖南省教育厅科研基金资助项目，贵州省科技厅软科学基金资助项目，贵州省科学技术基金资助项目，贵州财经大学博士科研启动项目(2010年度) |
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| 摘 要： | 研究一个两企业竞争与合作的离散动力学模型:x1(k+1)=x1(k)exp{r1(k)-a1(k)x1(k)-b1(k)×(x2(k)-c2(k))2},x2(k+1)=x2(k)exp{r2(k)-a2(k)x2(k)+b2(k)(x1(k)-c1(k))2},k∈Z的动力学行为.运用重合度及相关的延拓定理和先验估计,得到系统存在正周期解的易于检验的充分条件.
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| 关 键 词： | 企业竞争 企业合作 离散系统 动力学模型 周期解 重合度 |
Positive Periodic Solutions of Competition and Corporation Dynamical Model of Two Enterprises |
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| XU Chang-jin.Positive Periodic Solutions of Competition and Corporation Dynamical Model of Two Enterprises[J].Journal of Huaqiao University(Natural Science),2012,33(3):337-341. |
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| Authors: | XU Chang-jin |
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| Institution: | XU Chang-jin (Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics,Guiyang 550004,China) |
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| Abstract: | The dynamical behavior of a discrete competition and corporation dynamical model of two enterprises x1(k+1)=x1(k)exp{r1(k)-a1(k)x1(k)-b1(k)(x2(k)-c2(k))2},x2(k+1)=x2(k)exp{r2(k)-a2(k)x2(k)+b2(k)×(x1(k)-c1(k))2},k∈Z is investigated.By suing the coincidence degree and the related continuation theorem and prior estimates,we obtain an easily verifiable sufficient condition for the existence of positive periodic solutions. |
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| Keywords: | enterprise competition enterprise corporation discrete dynamical model periodic solution coincidence degree |
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