Studia i Prace WNEiZ US

Previously: Zeszyty Naukowe Uniwersytetu Szczecińskiego. Studia i Prace WNEiZ

ISSN: 2450-7733     eISSN: 2300-4096    OAI    DOI: 10.18276/sip.2016.45/1-08
CC BY-SA   Open Access 

Issue archive / nr 45/1 2016
Zasada Alleego w ekonomii – wprowadzenie
(Alle effect in economics – introduction)

Authors: Małgorzata Guzowska
Uniwersytet Szczeciński
Keywords: Allee effect dynamical systems bifurcations chaos theory
Data publikacji całości:2016
Page range:10 (107-116)
Klasyfikacja JEL: C02 C62 J00
Cited-by (Crossref) ?:

Abstract

The mechanism of the behavior of the population now is called the Allee effect was formulated in 1931 by the biologist Warder Clyde Allee. It says that both congestion in and small size of population can act on it limiting. Allee noted that in small populations or populations dispersed reproduction rate and survival of individuals decrease, which leads to the extinction of the population. The purpose of this article is to introduce the Allee effect of (the rules). The article attempts to classification of property that should have mathematical economic model whose dynamic behavior has the features of this phenomenon. As an example of the economic model contains Allee effect was presented the Marx model.
Download file

Article file

Bibliography

1.Allee, W.C. (1939). The Social Life of Animals. London: William Heinemann.
2.Allee, W.C., Emerson, A.E., Park, O., Park, T., Schmidt, K.P. (1949). Principles of Animal Ecology. Philadelphia: Saunders.
3.Courchamp, F., Berec, L., Gascoigne, J. (2008). Allee Effects. Oxford: Oxford University Press.
4.Cushing, J.M. (1988). The Allee Effect in Age-structured Population Dynamics. W: T. Hallam, L. Gross, S. Levin (red.), Mathematical Ecology (s. 479–505). Springer, Verlag.
5.Elaydi, S. (1996). An Introduction to Difference Equations. New York: Springer.
6.Elaydi, S. (2008). Discrete Chaos: With Applications in Science and Engineering. Boca Raton, FL: Chapman and Hall/CRC.
7.Foryś, U., Poleszczuk, J. (2011). Modelowanie matematyczne w biologii i medycynie. Warszawa: Wyd. UW.
8.Li, J., Song, B., Wang, X. (2007). An Extended Discrete Ricker Population Model with Allee Effects. Journal Difference Eqations and Appications, 13, 309–321.
9.Luis, R., Elaydi, S., Oliveira, H. (2009). An Economic Model with Allee Effect. Journal Difference Eqations and Appications, 15, 877–894.
10.Statter, G. (2003). Tendencia decrecente (ou Queda Tendencial) da taxa de lucro. Preprint, ISCTE.
11.Stephens, P.A., Sutherland, W.J., Freckleton, R.P. (1999). What is the Allee Effect? Oikos, 87, 185–190.