The problem of time unit in Leslie’s population model

Springer Science and Business Media LLC - Tập 42 - Trang 719-728 - 1980
Paul Cull1
1Department of Computer Science, Oregon State University, Corvallis, USA

Tóm tắt

The conditions that will allow the lumping together of several age classes in the Leslie model are investigated. We show that if the lumping is to be valid for all population distributions, then the parameters of the model must be periodic. Lumping is valid when the population is in equilibrium, but equilibrium should be tested before the model is lumped.

Tài liệu tham khảo

Cull, P. and A. Vogt. 1973. “Mathematical Analysis of the Asymptotic Behavior of the Leslie Population Matrix Model.”Bull. math. Biol.,35, 645–661. — and-—., 1974. “The Periodic Limit for the Leslie Model.”Mathl Biosci.,21, 39–54. Keyfitz, N. 1968.Introduction to the Mathematics of Population. Reading, MA,: Addison-Wesley, 37–40. — and W. Flieger. 1971.Population San Francisco: W. H. Freeman. Leslie, P. H. 1945. “On the Use of Matrices in Certain Population Mathematics.”Biometrika,33, 183–212.