The Stability Analysis of Two-Species Competition Model with Stage Structure and Diffusion Terms
Applied and Computational Mathematics
Volume 5, Issue 5, October 2016, Pages: 193-201
Received: Oct. 13, 2016; Published: Oct. 13, 2016
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Wang Hailing, Institute of Information Science and Technology, Xiamen University Tan Kah Kee Colledge, Xiamen, China
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In this paper, the author proposed and considered a reaction-diffusion equation with diffusion terms and stage structure. We discussed the stability of the positive equilibrium. By using the upper-lower solutions and monotone iteration technique, we obtained the zero steady state and the boundary equilibrium were linear unstable and the unique positive steady state was globally asymptotic stability. The traditional results are improved and this result applies to broader frameworks.
Stage Structure, Reaction-Diffusion Equations, Equilibrium, Stability
To cite this article
Wang Hailing, The Stability Analysis of Two-Species Competition Model with Stage Structure and Diffusion Terms, Applied and Computational Mathematics. Vol. 5, No. 5, 2016, pp. 193-201. doi: 10.11648/j.acm.20160505.12
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