扩散的Volterra-Lotka模型的正解存在性

数学季刊 ›› 2010, Vol. 25 ›› Issue (4): 522-529.

扩散的Volterra-Lotka模型的正解存在性

School of Sciences, Xi’an Jiaotong University

收稿日期:2006-09-18 出版日期:2010-12-30 发布日期:2023-05-17
作者简介:WANG Li-zhou(1972-), male, native of Anguo, Hebei, an associate professor of Xi’an Jiaotong University, Ph.D., engages in partial differential euqation.
基金资助:
Supported by NSF of China(10471109； 10971164)；

The Existence of Positive Solutions for Volterra-Lotka Cooperating Model with Diffusion

School of Sciences, Xi’an Jiaotong University

Received:2006-09-18 Online:2010-12-30 Published:2023-05-17
About author:WANG Li-zhou(1972-), male, native of Anguo, Hebei, an associate professor of Xi’an Jiaotong University, Ph.D., engages in partial differential euqation.
Supported by:
Supported by NSF of China(10471109； 10971164)；

摘要/Abstract

摘要： In this paper, using the existence and comparison result for the quasi-monotone increasing system developed by C V Pao, the upper and lower solutions principle and an iterative method, we investigate the existence of the positive solutions of the Volterra-Lotka cooperating model.

关键词: positive solution, Volterra-Lotka model, upper and lower solutions

Abstract: In this paper, using the existence and comparison result for the quasi-monotone increasing system developed by C V Pao, the upper and lower solutions principle and an iterative method, we investigate the existence of the positive solutions of the Volterra-Lotka cooperating model.

Key words: positive solution, Volterra-Lotka model, upper and lower solutions

中图分类号:

O175.26

王立周, 梅立泉 . 扩散的Volterra-Lotka模型的正解存在性[J]. 数学季刊, 2010, 25(4): 522-529.

WANG Li-zhou, MEI Li-quan. The Existence of Positive Solutions for Volterra-Lotka Cooperating Model with Diffusion[J]. Chinese Quarterly Journal of Mathematics, 2010, 25(4): 522-529.

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