TY - JOUR
T1 - On the location and period of limit cycles in Gause-type predator-prey systems
AU - Kuang, Yang
N1 - Funding Information:
* Research partially supported by a Killam Postgraduate Scholarship at the University of Alberta. Present address: Department of Mathematics, Arizona State University, Tempe, AZ 85287, USA.
PY - 1989/8/15
Y1 - 1989/8/15
N2 - In this paper, an attempt is made to estimate the location and period of the limit cycles of Gause-type predator-prey systems in the case when there is a unique unstable positive equilibrium. An annular region which contains all the limit cycles is determined, and an upper bound for the period of the limit cycles is given. Both the annular region and the upper bound of the period are explicitly computable.
AB - In this paper, an attempt is made to estimate the location and period of the limit cycles of Gause-type predator-prey systems in the case when there is a unique unstable positive equilibrium. An annular region which contains all the limit cycles is determined, and an upper bound for the period of the limit cycles is given. Both the annular region and the upper bound of the period are explicitly computable.
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U2 - 10.1016/0022-247X(89)90170-4
DO - 10.1016/0022-247X(89)90170-4
M3 - Article
AN - SCOPUS:38249025380
SN - 0022-247X
VL - 142
SP - 130
EP - 143
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 1
ER -