摘要
本文对一类三种群第Ⅲ类功能性反应系统(1)进行了稳定性分析,研究了各平衡点的局部稳定性,讨论了该系统在 R_3^+={(x_1,x_2,x_3,)I_(x_i)>o^(i=1,2,3)} 中的一切解的有界性,利用 Liapurov 函数方法,得出了平衡点 E_4的全局渐近稳定性的充分条件,并阐明了其生态意义.
This paper is devoted to the stability analysis of the type Ⅲ functionalresponse system of a kind of three-species.The local stability of every equilibrium point is studied,and theboundedness of all solutions of the system in the R_3^+-{(x_1,x_2,x_3)|x_i>0i=1,2,3}is discussed.By means of the Liapurov method,thesufficiant condition of the global asymptotical stability of the equilbriumpoint E_4 is obtained,and the biologic significance is expounded accord-ingly.
出处
《江西农业大学学报》
CAS
CSCD
1990年第2期83-88,共6页
Acta Agriculturae Universitatis Jiangxiensis
关键词
生物生态
种群
平衡
稳定性
模型
System
Equilibrium point
Locally stability
Globally stability
