International Journal of Mathematics and Mathematical Sciences
Volume 27 (2001), Issue 6, Pages 377-385
doi:10.1155/S016117120100655X
Existence of limit cycles in a predator-prey system with a functional response
Basem S. Attili
Mathematical Sciences Department, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
Abstract
We consider the existence of limit cycles for a predator-prey system with a functional response. The system has two or more parameters that represent the intrinsic rate of the predator population. A necessary and sufficient condition for the uniqueness of limit cycles in this system is presented. Such result will usually lead to a bifurcation curve.