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 |
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Pages (from-to) | 201-210 |
Number of pages | 10 |
Journal | Mathematical Biosciences |
Volume | 168 |
Issue number | 2 |
DOIs | |
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 | Funder number |
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National Natural Science Foundation of China |
Keywords
- Extinction
- Maximum sustainable yield
- Permanence
- Threshold of the harvesting