• ISSN 0258-2724
  • CN 51-1277/U
  • EI Compendex
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  • Indexed by Core Journals of China, Chinese S&T Journal Citation Reports
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  • Chinese Science Citation Database
Volume 19 Issue 2
Apr.  2006
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Article Contents
WANG Geng. Asymptotic Analysis of Nonlinear Two Species Competition in a Reaction-Diffusion System[J]. Journal of Southwest Jiaotong University, 2006, 19(2): 253-255,263.
Citation: WANG Geng. Asymptotic Analysis of Nonlinear Two Species Competition in a Reaction-Diffusion System[J]. Journal of Southwest Jiaotong University, 2006, 19(2): 253-255,263.

Asymptotic Analysis of Nonlinear Two Species Competition in a Reaction-Diffusion System

  • Received Date: 13 Jun 2005
  • Publish Date: 25 Apr 2006
  • A class of nonlinear two species competition singularly perturbed initial-boundary-value problems in a reaction-diffusion system in biomathematics was studies using the modern method of differential equation.The existence and asymptotic behavior of the solution for the initial-boundary-value problem were discussed using the theory of differential inequalities under the assumption that the degenerate problem has a positive solution and the functions in the system are continuous.The uniformly efficient estimate of the solution for the system was obtained.

     

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  • 王庚.具有转向点曲线的椭圆型方程边值问题奇摄动[J].数学杂志,2002,21(2):233-236.WANG Geng.The singular perturbation of elliptic equation boundary value problems on a curve with turning point[J].Journal of Mathematics,2002,21 (2):233-236.[2] WANG Geng.A class of of singularly perturbed boundary value problems for elliptic equation with a super surface of turning point in n-dimensional space[J].Chinese Quarteriy Journal of Mathematics,2002,17 (1):41-45.[3] WANG Geng.A class of shock solution for the semilinear singularly perturbed boundary value problem[J].Journal of Southwest Jiaotong University (English Edition),2004,12(2):190-192.[4] WANG Geug.A class of singularly perturbed robin boundary value problems for quasilinear elliptic equation[J].Journal of Lanzhou University,2003,38(3):5-9.[5] MO Jiaqi.Nonlinear predator-prey singularly perturbed Robin problems for reaction diffusion systems[J].Journal of Zhejiang University,2003,4 (5):511-513.[6] 王顺庆.数学生态学稳定性理论与方法[M].科学出版社,2004:234-235,152-153.[7] BUTUZOV V F,SMUROV I.Initial boundary value problem for a singularly perturbed parabolic equation in case of exchange of stability[J].Journal Math.Anal.Appl.,1999,234:183-192.
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