PERSISTENCE OF TWO-SPECIES AYALA COMPETITIVE MODEL WITH DIFFERENT DIFFUSIONS

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

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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

Abstract

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

Yuan Cunde;Pei Yongzhen. PERSISTENCE OF TWO-SPECIES AYALA COMPETITIVE MODEL WITH DIFFERENT DIFFUSIONS. 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

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