A predator-prey system with stage-structure for predator

被引：324

作者：

Wang, WD ^{[1
]}

Chen, LS ^{[1
]}

机构：

[1] ACAD SINICA,MATH INST,BEIJING 100080,PEOPLES R CHINA

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1997年 / 33卷 / 08期

基金：

中国国家自然科学基金;

关键词：

permanence; stability; periodic; stage structure; population;

D O I：

10.1016/S0898-1221(97)00056-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the asymptotic behavior of a predator-prey model with stage structure. It is found that an orbitally asymptotically stable periodic- orbit exists in that model. When time delay due to gestation of predator and time delay from crowding effect of prey are incorporated, we establish the condition for the permanence of populations and sufficient conditions under which positive equilibrium of the model is globally stable.

引用

页码：83 / 91

页数：9

共 50 条

[41] Permanence of a stage-structured predator-prey system with impulsive stocking prey and harvesting predator
Wang, Xinhui
Huang, Canyun
APPLIED MATHEMATICS AND COMPUTATION, 2014, 235 : 32 - 42
[42] Hopf bifurcation and global stability for a delayed predator-prey system with stage structure for predator
Gao, Shujing
Chen, Lansun
Teng, Zhidong
APPLIED MATHEMATICS AND COMPUTATION, 2008, 202 (02) : 721 - 729
[43] Stability and Bifurcation Analysis in a Delayed Predator-prey Model with Stage-structure and Harvesting
Jiang, Zhichao
Nie, Mingwei
SMART MATERIALS AND INTELLIGENT SYSTEMS, PTS 1 AND 2, 2011, 143-144 : 1358 - 1363
[44] PERIODIC SOLUTIONS AND ALMOST PERIODIC SOLUTIONS OF A NONAUTONOMOUS PREDATOR-PREY SYSTEM WITH STAGE-STRUCTURE AND DELAY
欧柳曼
罗桂烈
Annals of Differential Equations, 2003, (02) : 182 - 194
[45] Selecting harvesting in a predator-prey system with stage structure for prey
WANG JuanHE JunjieSHI Xiangyun College of Mathematics and Information ScienceXinyang Normal UniversityXinyang China
商丘师范学院学报, 2009, 25 (12) : 12 - 15
[46] Dynamics of stage-structure predator-prey systems under density-dependent effect and mortality
Ghosh, Bapan
Zhdanova, Oksana L.
Barman, Binandita
Frisman, Efim Ya
ECOLOGICAL COMPLEXITY, 2020, 41
[47] Dynamics of a predator-prey system with stage structure and two delays
Liu, Juan
Zhang, Zizhen
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (05): : 3074 - 3089
[48] Hopf bifurcation of a predator-prey system with stage structure and harvesting
Ge, Zhihao
Yan, Jingjing
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (02) : 652 - 660
[49] Permanence of variable coefficients predator-prey system with stage structure
Wei Fengying
Ke, Wang
APPLIED MATHEMATICS AND COMPUTATION, 2006, 180 (02) : 594 - 598
[50] Impulsive control for a predator-prey Gompertz system with stage structure
Huang C.-Y.
Wang X.-H.
Journal of Applied Mathematics and Computing, 2013, 41 (1-2) : 1 - 15

← 1 2 3 4 5 →