Logistic equation with thep-Laplacian and constant yield harvesting-Reference-Cited by-同舟云学术

Logistic equation with thep-Laplacian and constant yield harvesting

Published:2004 Issue:9 Volume:2004 Page:723-727
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Oruganti Shobha¹,Shi Junping²³,Shivaji Ratnasingham⁴

Affiliation:

1. Department of Mathematics, School of Science, Penn State Erie, The Behrend College, Penn State University, PA 16563, USA

2. Department of Mathematics, College of William and Mary, Williamsburg, VA 23187-8795, USA

3. School of Mathematics, Harbin Normal University, Harbin, Heilongjiang 150080, China

4. Department of Mathematics and Statistics, Mississippi State University, Mississippi State, MS 39762, USA

Abstract

We consider the positive solutions of a quasilinear elliptic equation withp-Laplacian, logistic-type growth rate function, and a constant yield harvesting. We use sub-super-solution methods to prove the existence of a maximal positive solution when the harvesting rate is under a certain positive constant.

Funder

National Science Foundation

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2004/359620.pdf

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