The effect of harvesting on a predator-prey system with stage structure

被引：24

作者：

Gui, ZJ ^{[1
]}

Ge, WG

机构：

[1] Beijing Inst Technol, Dept Appl Math, Beijing 100081, Peoples R China

[2] Hainan Normal Univ, Dept Comp, Haikou 571158, Hainan, Peoples R China

来源：

ECOLOGICAL MODELLING | 2005年 / 187卷 / 2-3期

基金：

中国国家自然科学基金;

关键词：

predator-prey system; stability; stage structure; population;

D O I：

10.1016/j.ecolmodel.2005.01.052

中图分类号：

Q14 [生态学（生物生态学）];

学科分类号：

071012 ; 0713 ;

摘要：

This paper studies the effect of harvesting and stability of a stage-structured predator-prey model with two life stages, immature and mature, and with a mature population of harvesting. We establish conditions for the existence of a globally asymptotically stable positive equilibrium and a threshold of harvesting for mature population. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：329 / 340

页数：12

共 38 条

[1] ANALYSIS OF A MODEL REPRESENTING STAGE-STRUCTURED POPULATION-GROWTH WITH STATE-DEPENDENT TIME-DELAY [J].

AIELLO, WG ;

FREEDMAN, HI ;

WU, J .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1992, 52 (03) :855-869

[2] A TIME-DELAY MODEL OF SINGLE-SPECIES GROWTH WITH STAGE STRUCTURE [J].

AIELLO, WG ;

FREEDMAN, HI .

MATHEMATICAL BIOSCIENCES, 1990, 101 (02) :139-153

[3] CRISP (crayfish and rice integrated system of production): 1. Modelling rice (Oryza sativa) growth and production [J].

Anastácio, PM ;

Frias, AF ;

Marques, JC .

ECOLOGICAL MODELLING, 1999, 123 (01) :17-28

[4]

[Anonymous], 1998, Evol. Games Popul. Dyn., DOI DOI 10.1017/CBO9781139173179

[5] A MODEL FOR A SPECIES WITH 2 LIFE-HISTORY STAGES AND ADDED MORTALITY [J].

BARCLAY, HJ ;

VANDENDRIESSCHE, P .

ECOLOGICAL MODELLING, 1980, 11 (03) :157-166

[6] A lumped parameter model for acarine predator-prey population interactions [J].

Buffoni, G ;

Gilioli, G .

ECOLOGICAL MODELLING, 2003, 170 (2-3) :155-171

[7]

CAO Y, 1992, NONLINEAR ANAL-THEOR, V16, P95

[8] Giant panda (Ailuropoda melanoleuca) population dynamics and bamboo (subfamily Bambusoideae) life history:: a structured population approach to examining carrying capacity when the prey are semelparous [J].

Carter, J ;

Ackleh, AS ;

Leonard, BP ;

Wang, HB .

ECOLOGICAL MODELLING, 1999, 123 (2-3) :207-223

[9]

CHARLES RT, 2001, ECOL MODEL, V136, P237

[10] Removal of infected prey prevent limit cycle oscillations in an infected prey - predator system - a mathematical study [J].

Chattopadhyay, J ;

Sarkar, RR ;

Ghosal, G .

ECOLOGICAL MODELLING, 2002, 156 (2-3) :113-121

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