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一类三种群生态系统平衡解及相图的数值分析
引用本文:李岚,陈琳珏,邢志宏. 一类三种群生态系统平衡解及相图的数值分析[J]. 佳木斯大学学报, 2007, 25(3): 393-396
作者姓名:李岚  陈琳珏  邢志宏
作者单位:佳木斯大学理学院,黑龙江佳木斯154007
基金项目:佳木斯大学校科研和教改项目
摘    要:主要利用数值方法研究Volterra模型下的三种群捕食系统的平衡解及其稳定性和持续性,描绘系统相图,讨论参数变化对系统的影响状况,得到一些有益结果.

关 键 词:非线性系统  Volterra模型  平衡解  稳定性  相图  种群生态系统  平衡解  相图  数值分析  Ecological Systems  Species  Phase Diagram  Equilibrium Solution  Analysis  结果  影响状况  变化  参数  稳定性  捕食系统  三种群  模型  Volterra  研究  数值方法
文章编号:1008-1402(2007)03-0393-04
收稿时间:2007-02-07
修稿时间:2007-02-07

Numerical Analysis of Equilibrium Solution and Phase Diagram of Some Three Species Ecological Systems
LI Lan,CHEN Lin-jue,XING Zhi-hong. Numerical Analysis of Equilibrium Solution and Phase Diagram of Some Three Species Ecological Systems[J]. Journal of Jiamusi University(Natural Science Edition), 2007, 25(3): 393-396
Authors:LI Lan  CHEN Lin-jue  XING Zhi-hong
Affiliation:College of Natural Science, Jiamusi University, Jiamnsi 154037, China
Abstract:Some predator- prey systems of three species based on Volterm - model are studied in this paper. The stability and boundedness of solutions are investigated and the phase diagrams are described by theoretic analysis and numerical simulation. Some results are obtained with the system varying trends discussed under multi - condition.
Keywords:nonlinear systems   volterra- model   equilibrium solution   stability   phase diagram
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