AN ALGEBRAIC PROBLEM ARISING IN BIOMATHEMATICS
DOI:
https://doi.org/10.11113/jt.v78.9027Keywords:
Block diagonal matrix, permutation matrix, population growthAbstract
This paper discusses a matrix model that describes the dynamics of a population with m live stages and lives in n patch seen from algebra viewpoint. The matrix D describes population growth in a patch or location. The matrix D is defined as a matrix obtained from matrix multiplication of a permutation matrix with a block diagonal matrix that its diagonal blocks is matrices with non-negative entries and transpose of a permutation matrix [4]. It will be shown that the permutation matrix contained in D has a special form.
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