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FURTHER INVESTIGATION OF THE VOLTERRALOTKA COMPETITION MODEL WITH DIFFUSION
引用本文:HUANGJIANJUN. FURTHER INVESTIGATION OF THE VOLTERRALOTKA COMPETITION MODEL WITH DIFFUSION[J]. 高校应用数学学报(英文版), 1998, 13(2): 135-140. DOI: 10.1007/s11766-998-0033-3
作者姓名:HUANGJIANJUN
作者单位:DepartmentofMathernatics,FuzhouUniversity,Fuzhou350002
摘    要:In this paper, tile existence of coexistence states in the Voterra-Lotka competition model under Dirichlet boundary conditions is the major concern. Attention will be focused on the logistic equation. With a comparison theorem an inequality satistisfied by the solution of logistic equation is established. Some improved sufficient conditions for the existence of coexistence states are obtained.

关 键 词:反应扩散 边界条件 竞争模型 比较定理 偏微分方程
收稿时间:1996-12-23

Further investigation of the Volterra-Lotka competition model with diffusion
Huang Jianjun. Further investigation of the Volterra-Lotka competition model with diffusion[J]. Applied Mathematics A Journal of Chinese Universities, 1998, 13(2): 135-140. DOI: 10.1007/s11766-998-0033-3
Authors:Huang Jianjun
Affiliation:(1) Department of Mathematics, Fuzhou University, 350002 Fuzhou
Abstract:In this paper, the existence of coexistence states in the Voterra-Lotka competition model under Dirichlet boundary conditions is the major concern. Attention will be focused on the logistic equation. With a comparison theorem an inequality satisfied by the solution of logistic equation is established. Some improved sufficient conditions for the existence of coexistence states are obtained.
Keywords:Competition system  Logistic equation  coexistence state
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