PERSISTENCE OF TWO-SPECIES AYALA COMPETITIVE MODEL WITH DIFFERENT DIFFUSIONS

Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (4): 457-464.

• 论文 • 上一篇

PERSISTENCE OF TWO-SPECIES AYALA COMPETITIVE MODEL WITH DIFFERENT DIFFUSIONS

原存德¹, 裴永珍²

1. Department of Mathematics, Shanxi Normal University, Linfen 041004, P. R. China;
2. Engineering College of Transportation, Tianjin 300161, P. R. China

收稿日期:1997-01-15 修回日期:1998-12-23 出版日期:1999-04-18 发布日期:1999-04-18
基金资助:
Project supported by the Natural Science Foundation of Shanxi Province

PERSISTENCE OF TWO-SPECIES AYALA COMPETITIVE MODEL WITH DIFFERENT DIFFUSIONS

Yuan Cunde¹, Pei Yongzhen²

1. Department of Mathematics, Shanxi Normal University, Linfen 041004, P. R. China;
2. Engineering College of Transportation, Tianjin 300161, P. R. China

Received:1997-01-15 Revised:1998-12-23 Online:1999-04-18 Published:1999-04-18
Supported by:
Project supported by the Natural Science Foundation of Shanxi Province

摘要/Abstract

摘要： In this paper, the stabilities of boundary equilibrium and positive equilibrium of two-species Ayala competitive systems with two different diffusions are discussed, and dynamic behaviors of species are obtained. At the same time, the dynamic behaviors between systems with diffusion and those without diffusion are compared. This shows the influence of diffusions on the persistence of species.

关键词: nonlinear, competitive system, diffusion, equilibrium, persistence

Abstract: In this paper, the stabilities of boundary equilibrium and positive equilibrium of two-species Ayala competitive systems with two different diffusions are discussed, and dynamic behaviors of species are obtained. At the same time, the dynamic behaviors between systems with diffusion and those without diffusion are compared. This shows the influence of diffusions on the persistence of species.

Key words: nonlinear, competitive system, diffusion, equilibrium, persistence

原存德;裴永珍. PERSISTENCE OF TWO-SPECIES AYALA COMPETITIVE MODEL WITH DIFFERENT DIFFUSIONS[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(4): 457-464.

Yuan Cunde;Pei Yongzhen. PERSISTENCE OF TWO-SPECIES AYALA COMPETITIVE MODEL WITH DIFFERENT DIFFUSIONS[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(4): 457-464.

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PERSISTENCE OF TWO-SPECIES AYALA COMPETITIVE MODEL WITH DIFFERENT DIFFUSIONS

PERSISTENCE OF TWO-SPECIES AYALA COMPETITIVE MODEL WITH DIFFERENT DIFFUSIONS

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