Comparison principles for impulsive parabolic equations with applications to models of single species growth-Reference-Cited by-同舟云学术

Comparison principles for impulsive parabolic equations with applications to models of single species growth

Published:1991-04 Issue:4 Volume:32 Page:382-400
ISSN:0334-2700
Container-title:The Journal of the Australian Mathematical Society. Series B. Applied Mathematics
language:en
Short-container-title:J. Aust. Math. Soc. Series B, Appl. Math

Author:

Erbe L. H.,Freedman H. I.,Liu X. Z.,Wu J. H.

Abstract

AbstractThis paper establishes some maximum and comparison principles relative to lower and upper solutions of nonlinear parabolic partial differential equations with impulsive effects. These principles are applied to obtain some sufficient conditions for the global asymptotic stability of a unique positive equilibrium in a reaction-diffusion equation modeling the growth of a single-species population subject to abrupt changes of certain important system parameters.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics

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