The Spectral Properties of Row-Stochastic Leslie Matrix With a Near-Periodic Fecundity Pattern

Document Type

Presentation

Presentation Date

6-4-2005

Abstract or Description

Leslie matrix models are discrete models for the development of age-structured popu-lations. In this paper, we further study the spectral properties of a row-stochastic Lwslie matric A with a near-periodic fecundity pattern of type (k,d,s) based on Kirland’s results in 1993. Intervals containing arguments of eigenvalues of A on the upper-half plane are given. Sufficient conditions are derived for the argument of the subdominant eigenvalue of A to be in the interval [2π/d, , 2π/d-s] for the cases where k=1. A computationa scheme is suggested to approximate the subdominant eigenvalue when its argument is in [2π/d, , 2π/d-s].

Sponsorship/Conference/Institution

International Conference on Scientific Computing (ICSC)

Location

Nanjing, China

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