Applications of logistic and generalized logistic difference equations in economics: AK model
The Teaching of Mathematics, XXV (2022) no. 2, p. 93
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
In this paper, we demonstrate how logistic equation and generalized logistic equation can be applied in teaching economics with the aim that students easily grasp the AK model. To this end, the AK model is firstly modified into three versions, after which the first and the second model are reduced to the generalized logistic equations. The purpose of this paper is to present how through applying the mathematical modifications of mentioned versions of AK models, they become more cognizable to students, which should result by more deeply understanding of well-known economic models.
Classification :
97M40 M45
Keywords: Non-linear dynamics, logistic equation, generalized logistic equation, AK model, mathematics courses for economists.
Keywords: Non-linear dynamics, logistic equation, generalized logistic equation, AK model, mathematics courses for economists.
@article{10_57016_TM_RMSH3417,
author = {Jelena Stanojevi\'c and Katarina Kuki\'c and Nemanja Vuksanovi\'c and Dragana Draganac},
title = {Applications of logistic and generalized logistic difference equations in economics: {AK} model},
journal = {The Teaching of Mathematics},
pages = {93 },
publisher = {mathdoc},
volume = {XXV},
number = {2},
year = {2022},
doi = {10.57016/TM-RMSH3417},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.57016/TM-RMSH3417/}
}
TY - JOUR AU - Jelena Stanojević AU - Katarina Kukić AU - Nemanja Vuksanović AU - Dragana Draganac TI - Applications of logistic and generalized logistic difference equations in economics: AK model JO - The Teaching of Mathematics PY - 2022 SP - 93 VL - XXV IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.57016/TM-RMSH3417/ DO - 10.57016/TM-RMSH3417 LA - en ID - 10_57016_TM_RMSH3417 ER -
%0 Journal Article %A Jelena Stanojević %A Katarina Kukić %A Nemanja Vuksanović %A Dragana Draganac %T Applications of logistic and generalized logistic difference equations in economics: AK model %J The Teaching of Mathematics %D 2022 %P 93 %V XXV %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.57016/TM-RMSH3417/ %R 10.57016/TM-RMSH3417 %G en %F 10_57016_TM_RMSH3417
Jelena Stanojević; Katarina Kukić; Nemanja Vuksanović; Dragana Draganac. Applications of logistic and generalized logistic difference equations in economics: AK model. The Teaching of Mathematics, XXV (2022) no. 2, p. 93 . doi: 10.57016/TM-RMSH3417
Cité par Sources :