摘要
计论了一类具有第1类功能性反应函数和三种群食物链模型。利用代数方程得到了该模型存在的平衡点充分方程,应用Hurwitz判别法则及特征方程给出了该模型的平衡点局部渐近稳定的充分条件,利用计算机进行模拟仿真,得到了直观可视化结果,并且进一步说明了所得结果的生态意义。
A class of three - species food chain model with type 1 functional response is discussed. By using the algebraic equation theory, the sufficient condition fpr existence of equilibrium points of the model are obtained. By using Hurwize theory and the characteristic equation theory, the sufficient conditions for the locally asymptotic stability of the equilibrium points of the model are given. Simulated by using computer, a visualizational result is presented. And the biological meaning of the result in the paper is showm in detail.
出处
《陕西理工学院学报（自然科学版）》
2008年第1期77-80,共4页
Journal of Shananxi University of Technology:Natural Science Edition
基金
宝鸡文理学院重点科研计划项目(ZK2547)
关键词
食物链模型
平衡点
稳定性
特征方程
food - chain model
equilibrium point
stability
characteristic equation
