The Journal of the Australian Mathematical Society. Series B. Applied Mathematics

Research Article

Global asymptotic stability in a periodic Lotka-Volterra system

K. Gopalsamya1

a1 School of Mathematical Sciences, The Flinders University of South Australian, Bedford Park, S. A.

Abstract

A set of easily verifiable sufficient conditions are obtained for the existence of a globally asymptotically stable periodic solution in a Lotka-Volterra system with periodic coefficients.

(Received February 28 1984)