MULTIPLE LIMIT CYCLES AND GLOBAL STABILITY IN PREDATOR-PREY MODEL

被引：3
作者：
王育全
井竹君
陈启元
机构：
来源：
Acta Mathematicae Applicatae Sinica(English Series) | 1999年 / 02期
关键词：
Predater-pery system; global stability; existence of one or two limit cycles;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
1.IntroductionWeconsideranextensivesystemofthefamiliarLotka-Volterrasysteminwhichthepopulationshaveself-inhibit(i.e.,withtheadditionofdampingterm)thatcanbemodeledbytheequationswherexandyrepresentthepreydensityandpredatordensityrespectively.Thespecifi...
引用
收藏
页码：206 / 219
页数：14
相关论文
共 50 条
[21]   Global stability and Hopf bifurcation of a predator-prey model with stage structure and delayed predator response [J].
Rui Xu .
Nonlinear Dynamics, 2012, 67 :1683-1693
[22]   Global stability and Hopf bifurcation of a predator-prey model with stage structure and delayed predator response [J].
Xu, Rui .
NONLINEAR DYNAMICS, 2012, 67 (02) :1683-1693
[23]   Global stability of a reaction-diffusion predator-prey model with a nonlocal delay [J].
Xu, Rui ;
Ma, Zhien .
MATHEMATICAL AND COMPUTER MODELLING, 2009, 50 (1-2) :194-206
[24]   Global Stability in a Diffusive Beddington-Deangelis and Tanner Predator-Prey Model [J].
Luo, Demou .
FILOMAT, 2019, 33 (17) :5511-5517
[25]   ON THE GLOBAL STABILITY OF A DISCRETE-TIME PREDATOR-PREY MODEL OF KOLMOGOROV TYPE [J].
Wang, Susu ;
Niu, And lei .
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2025, :3526-3540
[26]   The Study of Global Stability of a Periodic Beddington–DeAngelis and Tanner Predator-Prey Model [J].
Demou Luo .
Results in Mathematics, 2019, 74
[27]   Global Stability of Solutions in a Reaction-Diffusion System of Predator-Prey Model [J].
Luo, Demou ;
Liu, Hailin .
FILOMAT, 2018, 32 (13) :4665-4672
[28]   Global stability of a Leslie-Gower predator-prey model with feedback controls [J].
Chen, Liujuan ;
Chen, Fengde .
APPLIED MATHEMATICS LETTERS, 2009, 22 (09) :1330-1334
[29]   GLOBAL DYNAMICS OF A PREDATOR-PREY MODEL INCORPORATING A CONSTANT PREY REFUGE [J].
Yu, Xiaolei ;
Sun, Fuqin .
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
[30]   Global stability in stochastic difference equations for predator-prey models [J].
Choo, Sangmok ;
Kim, Young-Hee .
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2017, 23 (03) :462-486
12345