Geodesic
Delay effect and business cycles
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Algebra, geometry, differential equations, Tome 217 (2022), pp. 41-50

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In this paper, we study a mathematical model of macroeconomics known as “demand-supply” or “market model.” The classical version of this model has no cycles. We show that the introduction of a delay may lead to the appearance of periodic solutions, including stable solutions, and find the minimum value of such a delay. Our analysis is based on methods of the theory of dynamical systems with infinite-dimensional spaces of initial conditions. For periodic solutions detected, we obtain asymptotic formulas.
Keywords: model “supply-demand”, delay, stability, asymptotics.
Mots-clés : bifurcation 
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     author = {D. A. Kulikov},
     title = {Delay effect and business cycles},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {41--50},
     publisher = {mathdoc},
     volume = {217},
     year = {2022},
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}
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D. A. Kulikov. Delay effect and business cycles. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Algebra, geometry, differential equations, Tome 217 (2022), pp. 41-50. http://geodesic.mathdoc.fr/item/INTO_2022_217_a5/