Positive steady states of the Holling-Tanner prey-predator model with diffusion

被引：102

作者：

Peng, R ^{[1
]}

Wang, MX

机构：

[1] SE Univ, Dept Math, Nanjing 210018, Peoples R China

[2] Xuzhou Normal Univ, Dept Math, Xuzhou 221116, Peoples R China

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2005年 / 135卷

关键词：

D O I：

10.1017/S0308210500003814

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the Holling Tanner prey-predator model with diffusion subject to the homogeneous Neumann boundary condition. We obtain the existence and non-existence of positive non-constant steady states.

引用

页码：149 / 164

页数：16

共 27 条

[1]

[Anonymous], 1965, MEM ENTOMOL SOC CAN

[2] The bifurcation structure of the Holling-Tanner model for predator-prey interactions using two-timing [J].

Braza, PA .

SIAM JOURNAL ON APPLIED MATHEMATICS, 2003, 63 (03) :889-904

[3] GLOBAL BIFURCATION IN THE BRUSSELATOR SYSTEM [J].

BROWN, KJ ;

DAVIDSON, FA .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1995, 24 (12) :1713-1725

[4]

Capasso V., 1999, LECT NOTES MATH, V1714

[5]

COLLINGS JB, 1995, B MATH BIOL, V57, P63, DOI 10.1007/BF02458316

[6]

Davidson FA, 2000, P ROY SOC EDINB A, V130, P507

[7] A diffusive predator-prey model in heterogeneous environment [J].

Du, YH ;

Hsu, SB .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2004, 203 (02) :331-364

[8] Qualitative behaviour of positive solutions of a predator-prey model: effects of saturation [J].

Du, YH ;

Lou, Y .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2001, 131 :321-349

[9]

Hassell M.P., 1978, DYNAMICS ARTHROPOD P

[10] GLOBAL STABILITY FOR A CLASS OF PREDATOR-PREY SYSTEMS [J].

HSU, SB ;

HUANG, TW .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1995, 55 (03) :763-783

← 1 2 3 →