Global Attractivity and Oscillations in a Nonlinear Impulsive Parabolic Equation with Delay

- Journal title : Kyungpook mathematical journal
- Volume 48, Issue 4, 2008, pp.593-611
- Publisher : Department of Mathematics, Kyungpook National University
- DOI : 10.5666/KMJ.2008.48.4.593

Title & Authors

Global Attractivity and Oscillations in a Nonlinear Impulsive Parabolic Equation with Delay

Wang, Xiao; Li, Zhixiang;

Wang, Xiao; Li, Zhixiang;

Abstract

Global attractivity and oscillatory behavior of the following nonlinear impulsive parabolic differential equation which is a general form of many population models are considered. Some new sufficient conditions for global attractivity and oscillation of the solutions of (*) with Neumann boundary condition are established. These results no only are true but also improve and complement existing results for (*) without diffusion or impulses. Moreover, when these results are applied to the Nicholson's blowflies model and the model of Hematopoiesis, some new results are obtained.

Keywords

impulsive parabolic equation;global attractivity;oscillation;

Language

English

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