, Volume 23, Issue 3, pp 551-571,
Open Access This content is freely available online to anyone, anywhere at any time.
Date: 20 Jul 2010

Persistence in Forward Nonautonomous Competitive Systems of Parabolic Equations

Abstract

In the present paper forward nonautonomous competitive systems of two parabolic second order partial differential equations are studied. The concept of forward uniform persistence for such systems is introduced. Sufficient conditions, expressed in terms of the principal spectrum, are given for those systems to be forward uniformly persistent.

Dedicated to Professor Russell Johnson on the occasion of his 60th birthday.