On a predator-prey system of Holling type

被引：103

作者：

Sugie, J

Kohno, R

Miyazaki, R

机构：

[1] SHINSHU UNIV,FAC SCI,DEPT MATH,MATSUMOTO,NAGANO 390,JAPAN

[2] UNIV OSAKA PREFECTURE,DEPT MATH SCI,SAKAI,OSAKA 593,JAPAN

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1997年 / 125卷 / 07期

关键词：

limit cycles; global asymptotic stability; predator-prey system; functional response;

D O I：

10.1090/S0002-9939-97-03901-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the predator-prey system with a fairly general functional response of Holling type and give a necessary and sufficient condition under which this system has exactly one stable limit cycle. Our result extends previous results and is an answer to a conjecture which was recently presented by Sugie, Miyamoto and Morino.

引用

页码：2041 / 2050

页数：10

共 50 条

[1] Persistence and bifurcation analysis on a predator-prey system of holling type
Mukherjee, D
[J]. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2003, 37 (02): : 339 - 344
[2] Global asymptotic stability of a predator-prey system of Holling type
Sugie, J
Katayama, M
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 38 (01) : 105 - 121
[3] A PREDATOR-PREY SYSTEM WITH HOLLING-TYPE FUNCTIONAL RESPONSE
Beroual, Nabil
Sari, Tewfik
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 148 (12) : 5127 - 5140
[4] Permanence of periodic Holling type predator-prey system with stage structure for prey
Chen, Fengde
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2006, 182 (02) : 1849 - 1860
[5] Diffusive Holling type-II predator-prey system with harvesting of prey
Shabani, Saeed
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 410 (01) : 469 - 482
[6] Hopf bifurcation analysis for a predator-prey system of Holling and Leslie type
Hsu, SB
Hwang, TW
[J]. TAIWANESE JOURNAL OF MATHEMATICS, 1999, 3 (01): : 35 - 53
[7] Coexistence states of a Holling type-II predator-prey system
Zhou, Jun
Mu, Chunlai
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 369 (02) : 555 - 563
[8] The Stability of Holling Type IV Predator-Prey System with and without Delay
彭亚红
晁少辉
[J]. Journal of Donghua University(English Edition), 2012, 29 (02) : 171 - 174
[9] Dynamic Behaviors of a Holling-type Predator-Prey System with Impulsive Immigration on the Predator
Sun, Shulin
Chen, Lansun
[J]. PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 257 - 262
[10] Bifurcations of a predator-prey system of Holling and Leslie types
Li, Yilong
Xiao, Dongmei
[J]. CHAOS SOLITONS & FRACTALS, 2007, 34 (02) : 606 - 620

← 1 2 3 4 5 →