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On the uniqueness of limit cycles for a class of predator-prey systems.
by
Nabil Beroual
Department of Mathematics , Haute Alsace University, 6 rue des frères lumière, F.68093 Mulhouse. France
Coauthors: Prof. Tewfik Sari (Haute Alsace University)
In this paper, a general predator-prey system in the plane is considered. We suppose that the prey's isocline admits only one extremum in the first quadrant. By utilising a suitable changes of variables, the system is reduced to a generalized Liénard system where the function F(x) admitted only one extemum in the half plane {x<0} or in half plane {x>0}. A new uniqueness theorem of limit cycles for generalized Liénard system is obtained. As an application, criteria for the uniqueness of limit cycles for predator-prey system is rerived.
Date received: March 3, 2008
Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caws-63.