Response of predator-prey systems to nutrient enrichment and proportional harvesting
作者:
F. BRAUER,
A. C. SOUDACK,
期刊:
International Journal of Control
(Taylor Available online 1978)
卷期:
Volume 27,
issue 1
页码: 65-86
ISSN:0020-7179
年代: 1978
DOI:10.1080/00207177808922348
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 at a rate proportional to the predator population size are studied. Some theoretical analysis concerning the stability of equilibrium points and the existence of stable limit cycles are included. Three models are examined as examples, and for two of them computer simulations are included to illustrate the changes in qualitative behaviour under nutrient enrichment and increase of harvesting effort. The essential difference between this study and our previous work on constant-rate harvesting (Brauer et al. 1976) is that, here, extinction of predators in finite time is impossible although the predator population may tend to zero as l→∞
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