Stability Analysis for an Improved Volterra Predator-Prey Model

被引：0

作者：

Liu, Weiyi ^{[1
,2
]}

Fu, Chaojin ^{[2
]}

Zeng, Fan ^{[3
]}

Xuan, Tianci ^{[3
]}

机构：

[1] Xianning Vocat Tech Coll, Dept Mech & Elect Engn, Xianning, Hubei, Peoples R China

[2] Hubei Normal Univ, Coll Math & Stat, Huangshi, Hubei, Peoples R China

[3] Huangshi Entry Exit Inspect & Quarantine Bur, Huangshi, Hubei Province, Peoples R China

来源：

2014 4TH IEEE INTERNATIONAL CONFERENCE ON INFORMATION SCIENCE AND TECHNOLOGY (ICIST) | 2014年

关键词：

Volterra-Logistic model; positive equilibrium point; stability;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, the limitations of Volterra Predator-Prey system are pointed out by a simulation example. And an improved model with Logistic blocking effect is proposed. Based on analysis for the local stability of positive equilibrium point, the global stability criterion of this improved system is given. Finally, by MATLAB simulation, we analyse the behavior of solution to the new model.

引用

页码：345 / 348

页数：4

共 50 条

[1] STABILITY ANALYSIS OF A PREDATOR-PREY MODEL
Jiang, Zhichao
Guo, Zhaozhuang
Sun, Yuefang
[J]. INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2012, 5 (01)
[2] VOLTERRA MODEL FOR 3 SPECIES PREDATOR-PREY SYSTEMS - BOUNDEDNESS AND STABILITY
KRIKORIAN, N
[J]. JOURNAL OF MATHEMATICAL BIOLOGY, 1979, 7 (02) : 117 - 132
[3] STABILITY ANALYSIS OF HARVESTING IN A PREDATOR-PREY MODEL
AZAR, C
HOLMBERG, J
LINDGREN, K
[J]. JOURNAL OF THEORETICAL BIOLOGY, 1995, 174 (01) : 13 - 19
[4] ANALYSIS OF THE PERIODIC VOLTERRA PREDATOR-PREY MODEL WITH UNDERCROWDING EFFECT
王基琨
[J]. Annals of Applied Mathematics, 1998, (01) : 70 - 75
[5] Stability analysis in a delayed predator-prey model
Jiang, Zhichao
Chen, Hui
[J]. ADVANCED MANUFACTURING TECHNOLOGY, PTS 1-4, 2012, 472-475 : 2940 - +
[6] Stability analysis: The effect of prey refuge in predator-prey model
Ma, Zhihui
Wang, Shufan
[J]. ECOLOGICAL MODELLING, 2012, 247 : 95 - 97
[7] A note on stability criteria in the periodic Lotka-Volterra predator-prey model
Ortega, Victor
Rebelo, Carlota
[J]. APPLIED MATHEMATICS LETTERS, 2023, 145
[8] Stability in predator-prey models and discretization of a modified Volterra-Lotka model
Krabs, W.
[J]. MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS, 2006, 12 (06) : 577 - 588
[9] Stability Analysis of a Predator-prey Model with Impulsive Control
Song, Yan
Qi, Xiao-Yu
Gao, Ya-Jun
Xiao, Wen
[J]. 2015 International Conference on Mechanical Engineering and Automation (ICMEA 2015), 2015, : 52 - 57
[10] The Stability Analysis on a Predator-Prey Model with Allee Effect
Huang, Dongwei
Sun, Dongmei
Tan, Jianguo
[J]. PROCEEDINGS OF THE 2016 INTERNATIONAL CONFERENCE ON ADVANCED MATERIALS SCIENCE AND ENVIRONMENTAL ENGINEERING, 2016, 52 : 105 - 109

← 1 2 3 4 5 →