TY - JOUR
T1 - Constant rate population harvesting
T2 - Equilibrium and stability
AU - Brauer, Fred
AU - Sánchez, David A.
N1 - Funding Information:
partially sponsored by National Scicncc Foundation Grant No. GP-28267. by the United States Army under Contract No. DA-31-124-AR@D-462. I?
PY - 1975/8
Y1 - 1975/8
N2 - The paper studies the effect of constant rate harvesting on population models described by ordinary differential equations. The dependence of limits of populations on the harvest rate, the possibility of extinction in finite time, and the effect of the introduction of a time-lag delay on stability are studied. Various models for one population are analysed, and a geometric technique for the study of two-population models is discussed.
AB - The paper studies the effect of constant rate harvesting on population models described by ordinary differential equations. The dependence of limits of populations on the harvest rate, the possibility of extinction in finite time, and the effect of the introduction of a time-lag delay on stability are studied. Various models for one population are analysed, and a geometric technique for the study of two-population models is discussed.
UR - http://www.scopus.com/inward/record.url?scp=0016539739&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0016539739&partnerID=8YFLogxK
U2 - 10.1016/0040-5809(75)90036-2
DO - 10.1016/0040-5809(75)90036-2
M3 - Article
C2 - 1179269
AN - SCOPUS:0016539739
SN - 0040-5809
VL - 8
SP - 12
EP - 30
JO - Theoretical Population Biology
JF - Theoretical Population Biology
IS - 1
ER -