Optimal harvesting for a predator-prey metapopulation

被引：20
|
作者：
Supriatna, AK [1 ]
Possingham, HP
机构：
[1] Univ Adelaide, Dept Appl Math, Adelaide, SA 5005, Australia
[2] Univ Adelaide, Dept Environm Sci & Management, Roseworthy, SA 5371, Australia
来源：
BULLETIN OF MATHEMATICAL BIOLOGY | 1998年 / 60卷 / 01期
关键词：
D O I：
10.1006/bulm.1997.0005
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper we present a deterministic, discrete-time model for a two-patch predator-prey metapopulation. We study optimal harvesting for the metapopulation using dynamic programming. Some rules are established as generalizations of rules for a single-species metapopulation harvesting theory. We also establish rules to harvest relatively more (or less) vulnerable prey subpopulations and more (or less) efficient predator subpopulations. (C) 1998 Society for Mathematical Biology.
引用
收藏
页码：49 / 65
页数：17
相关论文
共 50 条
  • [21] Harvesting and conservation in a predator-prey system
    Hoekstra, J
    van den Bergh, JCJM
    JOURNAL OF ECONOMIC DYNAMICS & CONTROL, 2005, 29 (06): : 1097 - 1120
  • [22] Demographic and environmental stochasticity in predator-prey metapopulation dynamics
    Bonsall, MB
    Hastings, A
    JOURNAL OF ANIMAL ECOLOGY, 2004, 73 (06) : 1043 - 1055
  • [23] Constant Harvesting in the Predator-Prey Model
    Chrobok, Viktor
    PROCEEDINGS OF THE 29TH INTERNATIONAL CONFERENCE ON MATHEMATICAL METHODS IN ECONOMICS 2011, PTS I AND II, 2011, : 296 - 299
  • [24] THE ECONOMICS OF HARVESTING PREDATOR-PREY SYSTEMS
    STROBELE, WJ
    WACKER, H
    JOURNAL OF ECONOMICS-ZEITSCHRIFT FUR NATIONALOKONOMIE, 1995, 61 (01): : 65 - 81
  • [25] Metapopulation structures affect persistence of predator-prey interactions
    Bonsall, MB
    French, DR
    Hassell, MP
    JOURNAL OF ANIMAL ECOLOGY, 2002, 71 (06) : 1075 - 1084
  • [26] Stabilizing dispersal delays in predator-prey metapopulation models
    Neubert, MG
    Klepac, P
    van den Driessche, P
    THEORETICAL POPULATION BIOLOGY, 2002, 61 (03) : 339 - 347
  • [27] Local Bifurcations and Optimal Theory in a Delayed Predator-Prey Model with Threshold Prey Harvesting
    Tankam, Israel
    Mouofo, Plaire Tchinda
    Mendy, Abdoulaye
    Lam, Mountaga
    Tewa, Jean Jules
    Bowong, Samuel
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2015, 25 (07):
  • [28] THE ROLE OF CLEANER FISH IN A PREDATOR-PREY MODEL: DYNAMICS AND OPTIMAL HARVESTING
    Hafdane, Mohamed
    Boutayeb, Hamza
    Agmour, Imane
    El Foutayeni, Youssef
    Achtaich, Naceur
    COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE, 2023,
  • [29] Optimal harvesting for a predator-prey system with age structure and reserve area
    Chen, Miaomiao
    Yuan, Rong
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (17) : 11849 - 11874
  • [30] Optimal harvesting policy of a stochastic predator-prey model with time delay
    Liu, Meng
    APPLIED MATHEMATICS LETTERS, 2015, 48 : 102 - 108
12345