Inductive and Deductive Approaches to Modeling the Daily Cycle of Carbon Monoxide Concentrations Due to Air Pollution by Motor Vehicles

The problem of carbon monoxide pollution remains relevant due to the significant share of motor vehicles in the traffic of large cities. To solve this problem, it is necessary to establish an objective picture with pollution of this type. Mathematical modeling is one of the ways to evaluate and take into account the dynamics of carbon monoxide concentrations due to air pollution by vehicles. The article proposes to use an inductive and deductive approach to modeling these processes, combining the advantages of the mentioned approaches and avoiding their disadvantages. Having a measuring set of data on the dynamics of concentrations in different points of the city, it is proposed to use an inductive approach to the construction of an interval model in the form of a difference equation that reflects the daily cycle of carbon monoxide concentrations in a given point of the city. A method of transforming the obtained difference equation into a differential equation for the purpose of interpreting the simulation results and ensuring the completeness of the mathematical model is proposed. The given results of numerical modeling confirmed the efficiency of the proposed approach.