Non-permanence for Lotka-Volterra difference systems

被引：0

作者：

Wei, QJ ^{[1
]}

Lu, ZY ^{[1
]}

Chen, LS ^{[1
]}

机构：

[1] Chengdu Inst Math, Dept Math, Chengdu 610041, Peoples R China

来源：

ADVANCED TOPICS IN BIOMATHEMATICS | 1998年

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The permanence for n-species Lotka-Volterra difference systems is considered. It is proved that a cooperative system cannot be permanent. This result indicates that the dynamical behavior of tills system is different to that of its ODE counterpart.

引用

页码：259 / 263

页数：5

共 50 条

[21] PERMANENCE IN LOGISTIC AND LOTKA-VOLTERRA SYSTEMS WITH DISPERSAL AND TIME DELAYS
Cui, Jingan
Guo, Mingna
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2005,
[22] Permanence and global attractivity for Lotka–Volterra difference systems
Zhengyi Lu
Wendi Wang
Journal of Mathematical Biology, 1999, 39 : 269 - 282
[23] Partial permanence and extinction on stochastic Lotka-Volterra competitive systems
Dong, Chunwei
Liu, Lei
Sun, Yonghui
ADVANCES IN DIFFERENCE EQUATIONS, 2015,
[24] Partial permanence and extinction on stochastic Lotka-Volterra competitive systems
Chunwei Dong
Lei Liu
Yonghui Sun
Advances in Difference Equations, 2015
[25] Pullback permanence in a non-autonomous competitive Lotka-Volterra model
Langa, JA
Robinson, JC
Suárez, A
JOURNAL OF DIFFERENTIAL EQUATIONS, 2003, 190 (01) : 214 - 238
[26] Qualitative Permanence for some 4-D Lotka-Volterra Systems
Bao, Lei
PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 33 - 36
[27] Permanence in Multispecies Nonautonomous Lotka-Volterra Competitive Systems with Delays and Impulses
Feng, Xiaomei
Zhang, Fengqin
Wang, Kai
Li, Xiaoxia
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2012, 2012
[28] Permanence for two-species Lotka-Volterra cooperative systems with delays
Lu, Guichen
Lu, Zhengyi
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2008, 5 (03) : 477 - 484
[29] PERMANENCE AND GLOBAL STABILITY FOR COMPETITIVE LOTKA-VOLTERRA DIFFUSION-SYSTEMS
TAKEUCHI, Y
LU, ZY
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1995, 24 (01) : 91 - 104
[30] PERMANENCE IN LOTKA-VOLTERRA EQUATIONS - LINKED PREY-PREDATOR SYSTEMS
KIRLINGER, G
MATHEMATICAL BIOSCIENCES, 1986, 82 (02) : 165 - 191

← 1 2 3 4 5 →