两种群竞争系统的稳定性及其数值仿真  

Stability of A Two-species Competitive System and Its Numerical Simulation

作　　者：李晓康[1] 

机构地区：[1]陕西理工学院数学系,陕西汉中723000

出　　处：《三峡大学学报（自然科学版）》2012年第4期101-103,共3页Journal of China Three Gorges University：Natural Sciences

基　　金：陕西省教育厅科研基金项目(11JK0498)

摘　　要：对两种群竞争系统的Volterra prey-predator模型,利用微分方程的稳定性理论对模型的平衡点的稳定性进行了研究、分析了相轨线的特征、在给定几组参数值和初值下,利用Matlab软件对模型进行了数值仿真并给出图形结果.结果表明:模型存在着一个稳定的平衡点和一个不稳定的平衡点,系统呈周期性变化,在初值附近波动,存在着一条闭轨线.The stability theory of the ordinary differential equations conducts the study on the stability of the equilibrium point of the Volterra prey-predator model of a two-species competitive system and the analysis of the feature of its phase trajectory. Under the given set of parameter values and initial value, this article uses Matlab numerical simulation software to the model and graphical results are given. Results show that the model has a stable equilibrium point, one unstable balance point ,a closed phase trajectory,and the periodic fluctuation based on initial value.

关 键 词：两种群竞争系统 稳定性 相轨线 仿真 

分 类 号：O175.29[理学—数学]