Global asymptotic stability of 3-species mutualism models with diffusion and delay effects (Q1040114)
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scientific article; zbMATH DE number 5637353
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global asymptotic stability of 3-species mutualism models with diffusion and delay effects |
scientific article; zbMATH DE number 5637353 |
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Global asymptotic stability of 3-species mutualism models with diffusion and delay effects (English)
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23 November 2009
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Summary: 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.
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Lotka-Volterra 3-species mutualism models
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diffusion and delay effects
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global asymptotic stability
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upper and lower solutions
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0.97318065
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0.9479687
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0.9285928
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0.9234184
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0.92332006
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