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
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
  • [1] Optimal harvesting for a predator-prey metapopulation
    Asep K. Supriatna
    Hugh P. Possingham
    Bulletin of Mathematical Biology, 1998, 60 : 49 - 65
  • [2] Optimal control of harvesting in a predator-prey parabolic system
    Fister, R
    HOUSTON JOURNAL OF MATHEMATICS, 1997, 23 (02): : 341 - 355
  • [4] Optimal harvesting policy for a stochastic predator-prey model
    Liu, Meng
    Bai, Chuanzhi
    APPLIED MATHEMATICS LETTERS, 2014, 34 : 22 - 26
  • [5] Optimal control of predator-prey mathematical model with infection and harvesting on prey
    Amalia, Diva R. U.
    Fatmawati
    Windarto
    Arif, Didik Khusnul
    INTERNATIONAL CONFERENCE ON MATHEMATICS: PURE, APPLIED AND COMPUTATION, 2018, 974
  • [6] Optimal control study of a predator-prey model with nonlinear prey harvesting
    Han, Xiaotao
    Liu, Hua
    Wei, Yumei
    2ND INTERNATIONAL CONFERENCE ON APPLIED MATHEMATICS, MODELLING, AND INTELLIGENT COMPUTING (CAMMIC 2022), 2022, 12259
  • [7] PREDATOR-PREY INTERACTIONS WITH HARVESTING OF PREDATOR WITH PREY IN REFUGE
    Wuhaib, S. A.
    Abu Hasan, Y.
    COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE, 2013,
  • [8] THE ECONOMICS OF PREDATOR-PREY HARVESTING
    FLAATEN, O
    RIGHTS BASED FISHING, 1989, 169 : 485 - 503
  • [9] The role of dispersal in predator-prey metapopulation dynamics
    Holyoak, M
    Lawler, SP
    JOURNAL OF ANIMAL ECOLOGY, 1996, 65 (05) : 640 - 652
  • [10] STUDYING METAPOPULATION EFFECTS IN PREDATOR-PREY SYSTEMS
    TAYLOR, AD
    BIOLOGICAL JOURNAL OF THE LINNEAN SOCIETY, 1991, 42 (1-2) : 305 - 323