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Comparison Results for a Kind of Impulsive Parabolic Equations with Application to Population Dynamics

Comparison Results for a Kind of Impulsive Parabolic Equations with Application to Population... In this paper, for a semi-linear parabolic partial differential equations with impulsive effects, the existence-comparison theorem and comparison principles are established using the method of upper and lower solutions. These results are applied to obtain the stability results of the steady-state solutions in a reaction-diffusion equations modelling two competing species with instantaneous stocking. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Comparison Results for a Kind of Impulsive Parabolic Equations with Application to Population Dynamics

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Publisher
Springer Journals
Copyright
Copyright © 2006 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-006-0297-4
Publisher site
See Article on Publisher Site

Abstract

In this paper, for a semi-linear parabolic partial differential equations with impulsive effects, the existence-comparison theorem and comparison principles are established using the method of upper and lower solutions. These results are applied to obtain the stability results of the steady-state solutions in a reaction-diffusion equations modelling two competing species with instantaneous stocking.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jan 1, 2006

References