A DULAC FUNCTION FOR A LOTKA-VOLTERRA SYSTEM
In this paper, we find a Dulac function for a Lotka-Volterra System. We use Dulac’s criterion that gives sufficient conditions for the non-existence of periodic orbits of dynamical systems in simply connected regions of the plane. Using a Dulac function, we can rule out periodic orbits.
Dulac functions, quasilinear partial differential equations, Bendixon-Dulac criterion.
