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학술저널

UNIQUENESS OF POSITIVE SOLUTIONS FOR PREDATOR-PREY INTERACTING SYSTEMS WITH NONLINEAR DIFFUSION RATES

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In general, the positive solution to biological reaction-diffusion equations is not unique. In this paper, we state the sufficient and necessary conditions of the existence of positive solutions, and give and the proof for the uniqueness of positive solutions for a certain elliptic interacting system.

Abstract

1. Introduction

2. Fixed Point Index

3. Linearization

4. Uniqueness of Positive Solutions

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