Cookies on this website
We use cookies to ensure that we give you the best experience on our website. If you click 'Continue' we'll assume that you are happy to receive all cookies and you won't see this message again. Click 'Find out more' for information on how to change your cookie settings.

In this paper, we consider the reaction-diffusion equation with piecewise constant argument ∂u/∂t = r u(x, t) (1 - u(x,t)) - Eu(x, [t])u(x, t) + D∇2u on a finite domain, with r, E, D > 0. By employing the method of sub- and super-solutions we prove that, under the condition E < r(1 - exp(-r)), all solutions with positive initial data converge to the positive uniform state. © 2001 Elsevier Science Ltd.

Original publication

DOI

10.1016/S0895-7177(01)00071-1

Type

Journal article

Journal

Mathematical and Computer Modelling

Publication Date

01/08/2001

Volume

34

Pages

403 - 409