De-stabilization of predator-prey systems under enrichment†
作者:
FRED BRAUER,
期刊:
International Journal of Control
(Taylor Available online 1976)
卷期:
Volume 23,
issue 4
页码: 541-552
ISSN:0020-7179
年代: 1976
DOI:10.1080/00207177608922180
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. Conditions are given under which enrichment of the system by increasing the prey carrying capacity leads to instability. More specifically, it is shown that there is a transition from a stable equilibrium point to oscillations and a stable limit cycle.
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