Global Asymptotic Stability of 3-Species Mutualism Models with Diffusion and Delay Effects

Joint Authors

Yan, Xiang-ping
Wang, Shu
Wang, Chang-you

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-20, 20 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2009-08-20

Country of Publication

Egypt

No. of Pages

20

Main Subjects

Mathematics

Abstract EN

In this paper, the Lotka-Volterra 3-species mutualism models with diffusion and delay effects is investigated.

A simple and easily verifiable condition is given to ensure the global asymptotic stability of the unique positive steady-state solution of the corresponding steady-state problem in a bounded domain with Neumann boundary condition.

Our approach to the problem is based on inequality skill and the method of the upper and lower solutions for a more general reaction—diffusion system.

Finally, some numerical simulations are given to illustrate our results.

American Psychological Association (APA)

Wang, Chang-you& Wang, Shu& Yan, Xiang-ping. 2009. Global Asymptotic Stability of 3-Species Mutualism Models with Diffusion and Delay Effects. Discrete Dynamics in Nature and Society،Vol. 2009, no. 2009, pp.1-20.
https://search.emarefa.net/detail/BIM-462990

Modern Language Association (MLA)

Wang, Chang-you…[et al.]. Global Asymptotic Stability of 3-Species Mutualism Models with Diffusion and Delay Effects. Discrete Dynamics in Nature and Society No. 2009 (2009), pp.1-20.
https://search.emarefa.net/detail/BIM-462990

American Medical Association (AMA)

Wang, Chang-you& Wang, Shu& Yan, Xiang-ping. Global Asymptotic Stability of 3-Species Mutualism Models with Diffusion and Delay Effects. Discrete Dynamics in Nature and Society. 2009. Vol. 2009, no. 2009, pp.1-20.
https://search.emarefa.net/detail/BIM-462990

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-462990