TY - JOUR
T1 - De-stabilization of predator-prey systems under enrichment
AU - Brauer, Fred
N1 - Funding Information:
Received 9 July 1975. t This work was supported by the Wisconsin Alumni Research Foundation. t Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706, U.S.A. and Department of Applied Mathematics, The Weizmann Institute of Science, Rehovot, Israel.
Copyright:
Copyright 2015 Elsevier B.V., All rights reserved.
PY - 1976/4
Y1 - 1976/4
N2 - 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.
AB - 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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U2 - 10.1080/00207177608922180
DO - 10.1080/00207177608922180
M3 - Article
AN - SCOPUS:0016940059
SN - 0020-7179
VL - 23
SP - 541
EP - 552
JO - International Journal of Control
JF - International Journal of Control
IS - 4
ER -