Bifurcation and stability analysis in predator-prey model with a stage-structure for predator

被引：46
|
作者：
Sun, Xiao-Ke [1 ,2 ]
Huo, Hai-Feng [1 ]
Xiang, Hong [1 ]
机构：
[1] Lanzhou Univ Technol, Inst Appl Math, Lanzhou 730050, Gansu, Peoples R China
[2] Tianshui Normal Univ, Sch Math & Stat, Tianshui 741001, Gansu, Peoples R China
来源：
NONLINEAR DYNAMICS | 2009年 / 58卷 / 03期
关键词：
Hopf bifurcation; Stability; Time delay; Predator-prey system; DEANGELIS FUNCTIONAL-RESPONSE; DELAY; PERMANENCE; SYSTEM;
D O I：
10.1007/s11071-009-9495-y
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
A predator-prey system with Holling type II functional response and stage-structure for predator is presented. The stability and Hopf bifurcation of this model are studied by analyzing the associated characteristic transcendental equation. Further, an explicit formula for determining the stability and the direction of periodic solutions bifurcating from positive equilibrium is derived by the normal form theory and center manifold argument. Some numerical simulations are also given to illustrate our results.
引用
收藏
页码：497 / 513
页数：17
相关论文
共 50 条
  • [21] Stability analysis and bifurcation of a predator-prey model with time delay in prey and diseases in predator
    Department of Mathematics and Physics, Shijiazhuang Tiedao University, No. 17, East Bei’erhuan Road, Qiaodong District, Shijiazhuang
    050043, China
    [J]. Int. J. Innov. Comput. Inf. Control, 1 (43-56):
  • [22] STABILITY ANALYSIS AND BIFURCATION OF A PREDATOR-PREY MODEL WITH TIME DELAY IN PREY AND DISEASES IN PREDATOR
    Wang, Qiubao
    [J]. INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2015, 11 (01): : 43 - 56
  • [23] THE OPTIMAL HARVESTING OF A PREDATOR-PREY SYSTEM WITH STAGE-STRUCTURE
    Li Qiuying Zhang Fengqin (Dept.of Applied Math.
    [J]. Annals of Applied Mathematics, 2007, (04) : 440 - 445
  • [24] Stability and Hopf bifurcation analysis in a prey-predator system with stage-structure for prey and time delay
    Chen Yuanyuan
    Song Changming
    [J]. CHAOS SOLITONS & FRACTALS, 2008, 38 (04) : 1104 - 1114
  • [25] Hopf bifurcation and global stability for a delayed predator-prey system with stage structure for predator
    Gao, Shujing
    Chen, Lansun
    Teng, Zhidong
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 202 (02) : 721 - 729
  • [26] Bifurcation analysis in a time-delay model for prey–predator growth with stage-structure
    Ying Qu
    Junjie Wei
    [J]. Nonlinear Dynamics, 2007, 49 : 285 - 294
  • [27] STABILITY AND HOPF BIFURCATION OF A MODIFIED DELAY PREDATOR-PREY MODEL WITH STAGE STRUCTURE
    Li, Jing
    Zhu, Shaotao
    Tian, Ruilan
    Zhang, Wei
    Li, Xin
    [J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2018, 8 (02): : 573 - 597
  • [28] Bifurcation Analysis of a Predator-Prey Model with Age Structure
    Cai, Yuting
    Wang, Chuncheng
    Fan, Dejun
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2020, 30 (08):
  • [29] STABILITY AND BIFURCATION IN A PREDATOR-PREY MODEL WITH PREY REFUGE
    Chen, Wenchang
    Yu, Hengguo
    Dai, Chuanjun
    Guo, Qing
    Liu, He
    Zhao, Min
    [J]. JOURNAL OF BIOLOGICAL SYSTEMS, 2023, 31 (02) : 417 - 435
  • [30] Global Property in a Delayed Periodic Predator-Prey Model with Stage-Structure in Prey and Density-Independence in Predator
    Fan, Xiaolin
    Teng, Zhidong
    Jiang, Haijun
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
12345