A numerical method for finding positive solution of diffusive logistic equation with constant yield harvesting

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摘要

We consider a reaction–diffusion equation Δu(x)+au(x)-bu(x)2-ch(x)=0 with Dirichlet boundary condition. By using a numerical method based on sub–super solution, we will show the existence of positive solution.

论文关键词：Logistic equation,Positive solutions,Numerical sub- and super-solutions algorithm

论文评审过程：Available online 27 February 2007.

论文官网地址：https://doi.org/10.1016/j.amc.2007.02.083