On a certain finite difference scheme for a model for diffusion of biological populations
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In this note, we present a numerical scheme for finding an approximate solution of an equation which can be viewed as a model for spatial diffusion of age-dependent biological populations. Discretization of the model yields a linear system with a block tridiagonal matrix. Our main concern will be discussion of stability for this scheme by examining the eigenvalues of the block tridiagonal matrix. Numerical results are presented.
AMS Mathematics Subject Classification65M06 65M12
Key word and phrasespopulation dynamics finite difference stability
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- 1.H. Von Foerster,Some remarks on changing populations: The kinetirs of cell proliferation,Grune and stratton, New York, 1959.Google Scholar