USD Conference Systems, The 2nd International Conference on Mathematics, its Applications, and Mathematics Education (ICMAME) 2024

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A model on market equilibrium using a differential equation with time delays
Jalina Widjaja, Yudi Soeharyadi, Dumaria Rulina Tampubolon, Naufal Zidan Putra Irawan

Last modified: 2024-08-22

Abstract


In this paper, a model on market equilibrium is proposed using delay differential equation with discrete delays as a modified version of the one proposed by Kobayashi (1996). The price of a commodity is determined using the equation involving weighted supply and demand functions. Both supply and demand functions are considered at the current time and some times in the past. The delays are chosen by considering the seasonal behaviour of the market.  We use data on some main commodities in Indonesia in  year 2018  to year 2024 to validate the model. Some interesting phenomena about the behaviour of  the price oof some commodities are observed in applying the model.

 


Keywords


delay, demand, equilibrium, price, supply

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