一类带有扩散的Lotka-Volterra竞争系统的共存态

计算机工程与应用 ›› 2013, Vol. 49 ›› Issue (11): 35-37.

一类带有扩散的Lotka-Volterra竞争系统的共存态

贾云锋，王莹

陕西师范大学数学与信息科学学院，西安 710062

出版日期:2013-06-01 发布日期:2013-06-14

Coexistence of Lotka-Volterra competition system with diffusion

JIA Yunfeng, WANG Ying

College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China

Online:2013-06-01 Published:2013-06-14

摘要/Abstract

摘要： 考虑了一类带有三次功能反应项和扩散的Lotka-Volterra竞争生态系统的平衡态解。运用谱分析的方法，通过构造上下解，给出了系统存在共存态的一些充分性条件。

关键词: Lotka-Volterra竞争系统, 共存态, 主特征值, 上下解

Abstract: The steady-state solutions of a Lotka-Volterra competition ecological system with cubic functional responses and diffusion are concerned. With the assistance of the spectrum analysis and the upper-lower solutions, a few sufficient conditions for the existence on coexistence of the system are presented.

Key words: Lotka-Volterra competition system, coexistence, principal eigenvalue, upper-lower solution

贾云锋，王莹. 一类带有扩散的Lotka-Volterra竞争系统的共存态[J]. 计算机工程与应用, 2013, 49(11): 35-37.

JIA Yunfeng, WANG Ying. Coexistence of Lotka-Volterra competition system with diffusion[J]. Computer Engineering and Applications, 2013, 49(11): 35-37.

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