生物数学学报
生物數學學報
생물수학학보
JOURNAL OF BIOMATHEMATICS
2002年
2期
149-156
,共8页
徐瑞%阳平华%封汉颖%王志强
徐瑞%暘平華%封漢穎%王誌彊
서서%양평화%봉한영%왕지강
时滞%一致持续生存%局部渐近稳定性
時滯%一緻持續生存%跼部漸近穩定性
시체%일치지속생존%국부점근은정성
Time delay%Uniform persistence%Local asymptotic stability
研究一个具有时滞的一捕食者-两食饵比率型生态系统.证明了该系统在适当条件下的一致持久性;通过构造Lyapunov泛函,得到了该系统正平衡点局部渐近稳定的充分条件.
研究一箇具有時滯的一捕食者-兩食餌比率型生態繫統.證明瞭該繫統在適噹條件下的一緻持久性;通過構造Lyapunov汎函,得到瞭該繫統正平衡點跼部漸近穩定的充分條件.
연구일개구유시체적일포식자-량식이비솔형생태계통.증명료해계통재괄당조건하적일치지구성;통과구조Lyapunov범함,득도료해계통정평형점국부점근은정적충분조건.
A delayed ratio-dependent ecological model with one predator andtwo preys is investigated. It is shown that the system is permanent under some appro-priate conditions; by constructing a suitable Lyapunov functional, sufficient conditionsare derived for the local stability of a positive equilibrium of the model.
