Sel’kov模型正稳态解的唯一性

Uniqueness of Positive Stationary Solutions for Sel'kov Model

考虑具Neumann边界条件的Sel’kov模型正稳态解的唯一性,先通过建立一个新的积分恒等式,证明了当0<p≤1时该问题仅有一个正解,再借助先验估计方法,讨论该问题当p>1时正解的唯一性.

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 p1〉 by means of a priori estimate technique.