Abstract
An exact expression for the index of primitivity g of a Leslie matrix is obtained, which applies also to time-varying matrices which share an incidence matrix. Elapsed time (not time intervals) to primitivity is shown to depend only weakly on the discretization scheme used. A lower bound for speed of convergence to the stable (fixed or time-dependent as appropriate) state is given which depends sensitively on g.
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Tuljapurkar, S.D. Primitivity and convergence to stability. J. Math. Biology 13, 241–246 (1981). https://doi.org/10.1007/BF00275217
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DOI: https://doi.org/10.1007/BF00275217