×

Mathematical analysis of the asymptotic behavior of the Leslie population matrix model. (English) Zbl 0276.92025


MSC:

92D25 Population dynamics (general)
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Bernardelli, H. 1941. ”Population Waves.”J. Burma Res. Soc.,31, Part I, 3–18.
[2] Birkhoff, G. and S. MacLane. 1953.A Survey of Modern Algebra. Revised edn. New York: MacMillan. · Zbl 0052.25402
[3] Cull. P. and A. Vogt. 1973. ”The Applicability of the Oscillatory Limit in the Leslie Model.” (In preparation.) · Zbl 0276.92025
[4] Demetrius, L. 1969. ”The Sensitivity of Population Growth Rate to Perturbations the Life Cycle Components.”Math. Biosciences,4, 129–136. · Zbl 0172.45103
[5] Feller, W. 1968.An Introduction to Probability Theory and its Applications, Third edn., Vol. 1. New York: John Wiley. · Zbl 0155.23101
[6] Gantmacher, F. R. 1959.Applications of the Theory of Matrices. New York: Interscience. · Zbl 0085.01001
[7] Karlin, S. 1966.A First Course in Stochastic Processes. New York: Academic Press. · Zbl 0139.33804
[8] Keyfitz, N. 1968.Introduction to the Mathematics of Population. Reading, Mass: Addison-Wesley.
[9] Kuczynski, R. R. 1932.Fertility and Reproduction. New York: Falcon Press. · JFM 58.1183.13
[10] Leslie, P. H. 1945. ”On the Use of Matrices in Certain Population Mathematics.”Biometrika,33, 183–212. · Zbl 0060.31803
[11] Lewis, E. G. 1942. ”On the Generation and Growth of a Population.”Sankhya,6, 93–96.
[12] Lopez, A. 1961.Problems in Stable Population Theory, Princeton, N.J.: Office of Population Research.
[13] Moran, P. A. P. 1962.The Statistical Processes of Evolutionary Theory. Oxford: Clarendon Press. · Zbl 0119.35901
[14] Parlett, B. 1970. ”Ergodic Properties of Populations–I: The One Sex Model.”Theor. Pop. Biol.,1, 191–207. · Zbl 0239.92007
[15] Sykes, Z. M. 1969. ”On Discrete Stable Population Theory.”Biometrics,25, 285–293.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.