Self-replication of spatial patterns in a ratio-dependent predator-prey model

被引：29
作者：
Banerjee, M. [1 ]
机构：
[1] Indian Inst Technol, Dept Math & Stat, Kanpur 208016, Uttar Pradesh, India
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2010年 / 51卷 / 1-2期
关键词：
Ratio-dependence; Predator-prey; Turing instability; Self-replication pattern; REACTION-DIFFUSION-MODELS; PERSISTENCE; DYNAMICS; SYSTEMS;
D O I：
10.1016/j.mcm.2009.07.015
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
The results concerning the self-replication pattern formation in the spatio-temporal prey-predator model with ratio-dependent functional response are reported. The Turing instability region is obtained with the help of standard analysis of the linearized model around the coexisting equilibrium point. Numerical simulation reveals the self-replicating pattern for a certain choice of parametric values. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：44 / 52
页数：9
相关论文
共 42 条
[1]  
[Anonymous], 2002, MATH BIOL
[2]   COUPLING IN PREDATOR PREY DYNAMICS - RATIO-DEPENDENCE [J].
ARDITI, R ;
GINZBURG, LR .
JOURNAL OF THEORETICAL BIOLOGY, 1989, 139 (03) :311-326
[3]   Ratio-dependent predator-prey model: effect of environmental fluctuation and stability [J].
Bandyopadhyay, M ;
Chattopadhyay, J .
NONLINEARITY, 2005, 18 (02) :913-936
[4]   Self-organized spatial structures in a ratio-dependent predator-prey model [J].
Bartumeus, F ;
Alonso, D ;
Catalan, J .
PHYSICA A, 2001, 295 (1-2) :53-57
[5]   Instabilities in spatially extended predator-prey systems: Spatio-temporal patterns in the neighborhood of Turing-Hopf bifurcations [J].
Baurmann, Martin ;
Gross, Thilo ;
Feudel, Ulrike .
JOURNAL OF THEORETICAL BIOLOGY, 2007, 245 (02) :220-229
[6]   MUTUAL INTERFERENCE BETWEEN PARASITES OR PREDATORS AND ITS EFFECT ON SEARCHING EFFICIENCY [J].
BEDDINGTON, JR .
JOURNAL OF ANIMAL ECOLOGY, 1975, 44 (01) :331-340
[7]  
BENSON DL, 1993, B MATH BIOL, V55, P365
[8]   ANALYSIS OF PATTERN-FORMATION IN REACTION-DIFFUSION MODELS WITH SPATIALLY INHOMOGENOUS DIFFUSION-COEFFICIENTS [J].
BENSON, DL ;
MAINI, PK ;
SHERRATT, JA .
MATHEMATICAL AND COMPUTER MODELLING, 1993, 17 (12) :29-34
[9]   THE ORIGINS AND EVOLUTION OF PREDATOR PREY THEORY [J].
BERRYMAN, AA .
ECOLOGY, 1992, 73 (05) :1530-1535
[10]  
Cantrell RS., 2004, Spatial Ecology via ReactionDiffusion Equations
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