n种群Gilpin-Ayala型竞争系统的全局渐近稳定性

摘要

研究了一类连续型时滞与离散型变时滞的非自治n种群Gilpin-Ayala型竞争系统,分别利用比较原理和构造Lyapunov函数得到了系统持久生存与全局渐近稳定性的充分条件,通过数值举例验证了定理的可行性.%In this paper, a class of nonautonomous n species Gilpin-Ayala competition system with continuous delays and discrete varying delays is studied, respectively, the sufficient conditions are obtained for the permanence and global asymp-totic stability of the system by using the comparison theorem and constructing a suitable Lyapunov functional, theorems are realized by giving a numerical example.