On the average persistence and extinction in nonautonomous predator-prey Kolmogorov systems

被引：0

作者：

Han, Xinli ^{[1
]}

Teng, Zhidong

机构：

[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

[2] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China

来源：

DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS | 2006年 / 13卷 / 3-4期

关键词：

average persistence; extinction; nonautonomous; predator-prey; Kolmogorov system; Lotka-Volterra system; holling functional response system; Beddington-DeAngelis; functional response system; Chemostat-type system;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper studies the general nonautonomous predator-prey Kolmogorov systems. The general criteria of integrable form on the average persistence and extinction are obtained. As applications of these results, the sufficient conditions of integrable form on the average persistence and extinction are established for nonautonomous Lotka-Volterra type systems, Holling (m,n)-type functional response systems, Beddington-DeAngelis functional response systems and Chemostat-type systems.

引用

页码：367 / 385

页数：19

共 26 条

[1] Ahmad S, 2002, DYNAM CONT DIS SER A, V9, P177
[2] MUTUAL INTERFERENCE BETWEEN PARASITES OR PREDATORS AND ITS EFFECT ON SEARCHING EFFICIENCY
BEDDINGTON, JR
[J]. JOURNAL OF ANIMAL ECOLOGY, 1975, 44 (01) : 331 - 340
[3] A MATHEMATICAL-MODEL OF THE CHEMOSTAT WITH PERIODIC WASHOUT RATE
BUTLER, GJ
HSU, SB
WALTMAN, P
[J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 1985, 45 (03) : 435 - 449
[4] On the dynamics of predator-prey models with the Beddington-DeAngelis functional response
Cantrell, RS
Cosner, C
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 257 (01) : 206 - 222
[5] Chen L., 1988, Mathematical Models and Methods in Ecology
[6] Chen L. S., 1993, Nonlinear Biological Dynamical System
[7] MODEL FOR TROPHIC INTERACTION
DEANGELIS, DL
GOLDSTEIN, RA
ONEILL, RV
[J]. ECOLOGY, 1975, 56 (04) : 881 - 892
[8] Persistence criteria for a chemostat with variable nutrient input
Ellermeyer, SF
Pilyugin, SS
Redheffer, R
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2001, 171 (01) : 132 - 147
[9] Freedman H.I., 1980, MONOGR TXB PURE APPL, V57
[10] COMPETITION FOR FLUCTUATING NUTRIENT
HALE, JK
SOMOLINOS, AS
[J]. JOURNAL OF MATHEMATICAL BIOLOGY, 1983, 18 (03) : 255 - 280

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