福建农林大学学报（自然科学版）
福建農林大學學報（自然科學版）
복건농림대학학보（자연과학판）
JOURNAL OF FUJIAN AGRICULTURE AND FORESTRY UNIVERSITY(NATURAL SCIENCE EDITION)
2010年
2期
222-224
,共3页
非自治%无穷时滞%持久性
非自治%無窮時滯%持久性
비자치%무궁시체%지구성
nonautonomous%infinite delay%permanence
给出了具有无穷时滞Lotka-Volterra竞争系统,即(y)_i(t)=y_i(t)[r_i(t)-~n∑_(j=1)a_(ij)(t)y_j(t)-~n∑_(j=1)b_(ij)(t)∫_(-∞)~tK_(ij)(t-u)y_j(u)du]永久持续生存的充分性条件.
給齣瞭具有無窮時滯Lotka-Volterra競爭繫統,即(y)_i(t)=y_i(t)[r_i(t)-~n∑_(j=1)a_(ij)(t)y_j(t)-~n∑_(j=1)b_(ij)(t)∫_(-∞)~tK_(ij)(t-u)y_j(u)du]永久持續生存的充分性條件.
급출료구유무궁시체Lotka-Volterra경쟁계통,즉(y)_i(t)=y_i(t)[r_i(t)-~n∑_(j=1)a_(ij)(t)y_j(t)-~n∑_(j=1)b_(ij)(t)∫_(-∞)~tK_(ij)(t-u)y_j(u)du]영구지속생존적충분성조건.
Sufficient conditions were obtained for the permanence of the Lotka-Volterra competitive system with infinite delays:
(y)_i(t)=y_i(t)[r_i(t)-~n∑_(j=1)a_(ij)(t)y_j(t)-~n∑_(j=1)b_(ij)(t)∫_(-∞)~tK_(ij)(t-u)y_j(u)du].
