Journal of Jilin University Science Edition

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Uniqueness of Positive Stationary Solutions for Sel’kov Model

LI Ying1,2, WANG Ling3, ZHOU Wenshu2   

  1. 1. School of Mathematics and Computational Science, Beifang University of Nationalities, Yinchuan 750021, China;[JP]2. School of  Science, Dalian Minzu University, Dalian 116600, Liaoning Province, China; 3. Department of Mathematics Teaching, Guangdong Technical College ofWater Sources and Electrical Engineering, Guangzhou 510635, China
  • Received:2015-09-16 Online:2016-03-26 Published:2016-03-23
  • Contact: ZHOU Wenshu E-mail:wolfzws@163.com

Abstract:

This paper dealt with the uniqueness of positive stationary solutions for Sel’kov model with Neumann boundary conditions. Firstly, we  established a new integral identity, which proved that there was only one positive solution to the problem for 0<p≤1. Secondly, we discussed the uniqueness of positive solutions for the problem with p>1 by means of a priori estimate technique.

Key words: Sel’kov model, positive stationary solution, uniqueness

CLC Number: 

  • O175.2