Stability analysis of a population dynamics model with Allee effect

被引：0

作者：

Celik, Canan ^{[1
]}

机构：

[1] TOBB Econ & Technol Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey

来源：

WCECS 2007: WORLD CONGRESS ON ENGINEERING AND COMPUTER SCIENCE | 2007年

关键词：

delay difference equations; Allee effect; population dynamics; stability analysis; bifurcation;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this study, we focus on the stability analysis of equilibrium points of population dynamics with delay when the Allee effect occurs at low population density is considered. Mainly, mathematical results and numerical simulations illustrate the stabilizing effect of the Allee effects on population dynamics with delay.

引用

页码：7 / 11

页数：5

共 10 条

[1]

Allee W.C., 1931, STUDY GEN SOCIOLOGY

[2] AGE DISTRIBUTION AND STABILITY OF SIMPLE DISCRETE-TIME POPULATION MODELS [J].

BEDDINGTON, JR .

JOURNAL OF THEORETICAL BIOLOGY, 1974, 47 (01) :65-74

[3] EFFECT OF HABITAT AND DENSITY ON BREEDING SUCCESS IN COMMON GUILLEMOT (URIA-AALGE) [J].

BIRKHEAD, TR .

JOURNAL OF ANIMAL ECOLOGY, 1977, 46 (03) :751-764

[4] On the exponentially self-regulating population model [J].

Chen, J ;

Blackmore, D .

CHAOS SOLITONS & FRACTALS, 2002, 14 (09) :1433-1450

[5] On the recursive sequence xn+1=α+βxn/Bxn+Cxn-1 [J].

Cunningham, K ;

Kulenovic, MRS ;

Ladas, G ;

Valicenti, SV .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (07) :4603-4614

[6] Population dynamic consequences of allee effects [J].

Fowler, MS ;

Ruxton, GD .

JOURNAL OF THEORETICAL BIOLOGY, 2002, 215 (01) :39-46

[7] The effect of seasonal harvesting on a single-species discrete population model with stage structure and birth pulses [J].

Gao, SJ ;

Chen, LS .

CHAOS SOLITONS & FRACTALS, 2005, 24 (04) :1013-1023

[8] Existence of stable localized structures in population dynamics through the Allee effect [J].

Hadjiavgousti, D ;

Ichtiaroglou, S .

CHAOS SOLITONS & FRACTALS, 2004, 21 (01) :119-131

[9] A rational difference equation [J].

Kulenovic, MRS ;

Ladas, G ;

Prokup, NR .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 41 (5-6) :671-678

[10] Allee effect increases the dynamical stability of populations [J].

Scheuring, I .

JOURNAL OF THEORETICAL BIOLOGY, 1999, 199 (04) :407-414

← 1 →