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

We consider a reaction–diffusion equation Δ u ( 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.

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Bibliographic Details
Published in:Applied mathematics and computation 2007-08, Vol.191 (1), p.234-238
Main Authors: Afrouzi, G.A., Mahdavi, S., Naghizadeh, Z.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Logistic equation
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical sub- and super-solutions algorithm
Partial differential equations
Positive solutions
Sciences and techniques of general use
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Description
Summary:We consider a reaction–diffusion equation Δ u ( 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.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2007.02.083