Stabilization and de-stabilization of predator-prey systems under harvesting and nutrient enrichment
作者:
F. BRAUER,
A. C. SOUDACK,
H. S. JAROSCH,
期刊:
International Journal of Control
(Taylor Available online 1976)
卷期:
Volume 23,
issue 4
页码: 553-573
ISSN:0020-7179
年代: 1976
DOI:10.1080/00207177608922181
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
A predator-prey system is modelled by a pair of ordinary differential equations, and the qualitative effects of prey nutrient enrichment and predator harvesting on the stability of the system are studied. Some theoretical analysis concerning the existence of equilibrium points and limit cycles is included. Three models are examined as examples and the concept ofpractical stabilityis introduced. For one of the models, computer simulations are included to illustrate the changes in qualitative behaviour under nutrient enrichment and harvesting. The results indicate that care must be taken in harvesting to prevent extinction of the predator and a resulting collapse of the entire ecosystem. This study should, therefore, prove to be a useful tool in resource management and control.
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