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

Xin An Zhang; Lansun Chen; Avidan U. Neumann

doi:10.1016/s0025-5564(00)00033-x

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

Xin An Zhang
, Lansun Chen
, Avidan U. Neumann

The Mina and Everard Goodman Faculty of Life Sciences - at Bar-Ilan University

Central China Normal University
CAS - Institute of Applied Mathematics
Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

205 Scopus citations

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 sufficient condition for the permanence of two species and the extinction of one species or two species. We also obtain the optimal harvesting policy and the threshold of the harvesting for sustainable development. (C) 2000 Elsevier Science Inc.

Original language	English
Pages (from-to)	201-210
Number of pages	10
Journal	Mathematical Biosciences
Volume	168
Issue number	2
DOIs	https://doi.org/10.1016/s0025-5564(00)00033-x
State	Published - Dec 2000

Bibliographical note

Funding Information:
This work was supported by the National Natural Science Foundation of China.

Funding

This work was supported by the National Natural Science Foundation of China.

Funders
National Natural Science Foundation of China

Keywords

Extinction
Maximum sustainable yield
Permanence
Threshold of the harvesting

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10.1016/s0025-5564(00)00033-x

Cite this

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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 sufficient condition for the permanence of two species and the extinction of one species or two species. We also obtain the optimal harvesting policy and the threshold of the harvesting for sustainable development. (C) 2000 Elsevier Science Inc.",

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N2 - 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 sufficient condition for the permanence of two species and the extinction of one species or two species. We also obtain the optimal harvesting policy and the threshold of the harvesting for sustainable development. (C) 2000 Elsevier Science Inc.

AB - 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 sufficient condition for the permanence of two species and the extinction of one species or two species. We also obtain the optimal harvesting policy and the threshold of the harvesting for sustainable development. (C) 2000 Elsevier Science Inc.

KW - Extinction

KW - Maximum sustainable yield

KW - Permanence

KW - Threshold of the harvesting

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

Abstract

Bibliographical note

Funding

Keywords

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