具有离散变时滞的N种群非自治Lotka-Volterra竞争系统的有界性和持久性  

The boundedness and permanence of nonautonomous Lotka-Volterra competitive system with N-species and discrete variable delays

作　　者：秦丽华[1] 俞芳[2] 

机构地区：[1]昌吉学院初等教育学院,新疆昌吉831100 [2]昌吉学院数学系,新疆昌吉831100

出　　处：《西北师范大学学报（自然科学版）》2012年第4期7-13,共7页Journal of Northwest Normal University(Natural Science)

摘　　要：讨论了具有离散变时滞的N种群非自治Lotka-Volterra竞争系统的动力学性质,运用反证法得到了系统在均值条件下的有界性和持久性.最后通过一个数值实例验证了方法的有效性.The dynamical behaviors of nonautonomous Lotka-Volterra competitive system with N-species and discrete variable delays are investigated in this article.The boundedness and permanence under average conditions are obtained by using reduction to absurdity.Finally,a numerical example is given to verify the results.

关 键 词：LOTKA-VOLTERRA竞争系统 离散变时滞 均值条件 持久性 有界性 

分 类 号：O175.15[理学—数学]