Volume 11, Number 3, Fall 2003
WEIGHT FUNCTIONS AND THE UNIQUENESS
OF LIMIT CYCLES IN PREDATOR-PREY
Abstract. This paper deals with the question of uniqueness
of limit cycles in predator-prey systems of Gause type.
Using the ideas Liou and Cheng (1987), a theorem is proved
that gives a sufficient condition for uniqueness of the limit cycle,
which generalizes their result. Our assumptions employ a
weight function motivated by Hwang's work.