title: A density-dependent Leslie matrix model.
abstract: A density-dependent Leslie matrix model introduced in 1948 by Leslie is mathematically analyzed. It is shown that the behavior is similar to that of the constant Leslie matrix. In the primitive case, the density-dependent Leslie matrix model has an asymptotic distribution corresponding to the logistic equation. However, in the imprimitive case, the asymptotic distribution is periodic, with period depending on the imprimitivity index.
authors.forename: L J
authors.initials: LJ
authors.lastname: Allen
mesh_terms: D000818:Animals; D005260:Female; D016015:Logistic Models; D008433:Mathematics; D008954:Models, Biological; D011156:Population Density; D011158:Population Growth