The effect of prey refuge in a patchy predator-prey system

被引：28

作者：

Ma, Zhihui ^{[1
]}

Wang, Shufan ^{[2
]}

Li, Weide ^{[1
]}

Li, Zizhen ^{[1
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China

[2] Northwest Univ Nationalities, Sch Math & Comp Sci, Lanzhou 730030, Peoples R China

来源：

MATHEMATICAL BIOSCIENCES | 2013年 / 243卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Patchy predator-prey model; Migration; Prey refuge; Global stability; Limit cycle; POPULATION-DYNAMICS; STABILITY ANALYSIS; MODEL;

D O I：

10.1016/j.mbs.2013.02.011

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this work, we proposed a patchy predator-prey model with one patch as refuge and the other as open habitat, and incorporated prey refuge in the considered model explicitly. We applied an analytical approach to study the dynamic consequences of the simplest forms of refuge used by prey and the migration efficiency. The results have shown that the refuge used by prey and the migration efficiency play an important role in the dynamic consequences of the interacting populations and the equilibrium density of two interacting populations. This work also proposed a new approach which can incorporate prey refuge in predator-prey system explicitly. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：126 / 130

页数：5

共 18 条

[1] COLLINGS JB, 1995, B MATH BIOL, V57, P63, DOI 10.1007/BF02458316
[2] Dynamic consequences of prey refuges in a simple model system:: more prey, fewer predators and enhanced stability
González-Olivares, E
Ramos-Jiliberto, R
[J]. ECOLOGICAL MODELLING, 2003, 166 (1-2) : 135 - 146
[3] Hassell M.P., 1978, The dynamics of arthropod predator-prey systems
[4] STABILITY IN INSECT HOST-PARASITE MODELS
HASSELL, MP
MAY, RM
[J]. JOURNAL OF ANIMAL ECOLOGY, 1973, 42 (03) : 693 - 726
[5] REFUGE EVOLUTION AND THE POPULATION-DYNAMICS OF COUPLED HOST-PARASITOID ASSOCIATIONS
HOCHBERG, ME
HOLT, RD
[J]. EVOLUTIONARY ECOLOGY, 1995, 9 (06) : 633 - 661
[6] Holling C. S., 1959, Canadian Entomologist, V91, P385
[7] Hoy M.A., 1985, SPIDER MITES THEIR B, V1B
[8] Stability analysis of a prey-predator model with holling type III response function incorporating a prey refuge
Huang, Yunjin
Chen, Fengde
Zhong, Li
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2006, 182 (01) : 672 - 683
[9] ANTIPREDATOR BEHAVIOR AND THE POPULATION-DYNAMICS OF SIMPLE PREDATOR-PREY SYSTEMS
IVES, AR
DOBSON, AP
[J]. AMERICAN NATURALIST, 1987, 130 (03) : 431 - 447
[10] Kar T. K., 2005, Communications in Nonlinear Science and Numerical Simulation, V10, P681, DOI 10.1016/j.cnsns.2003.08.006

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