The stage-structured predator-prey model and optimal harvesting policy

Authors
Zhang, XA Chen, LS Neumann, AU
Citation
Xa. Zhang et al., The stage-structured predator-prey model and optimal harvesting policy, MATH BIOSCI, 168(2), 2000, pp. 201-210
Citations number
19
Categorie Soggetti
Multidisciplinary
Journal title
MATHEMATICAL BIOSCIENCES
ISSN journal
00255564 → ACNP
Volume
168
Issue
2
Year of publication
2000
Pages
201 - 210
Database
ISI
SICI code
0025-5564(200012)168:2<201:TSPMAO>2.0.ZU;2-M
Abstract
In this paper, we establish a mathematical model of two species with stage structure and the relation of predator-prey, to obtain the necessary and su fficient condition for the permanence of two species and the extinction of one species or two species. We also obtain the optimal harvesting policy an d the threshold of the harvesting for sustainable development. (C) 2000 Els evier Science Inc. All rights reserved. MSC: 34C05; 92D25.