Study of the model for the movement of gas reserves by category

A continuous aggregated deterministic dynamic model of the movement of gas reserves by categories is constructed. Each category is characterized by its level of knowledge of the object - the carrier of information on stocks. The movement of gas reserves by category is described by the system of differential equations and schematically shown in the figure. Particular attention is given to the multiplicity of reserves. To determine the coefficient of multiplicity a time function is introduced, which determines the total explored reserves of natural gas. Priori assumptions of its properties are made. Six concrete examples are given. For each example, the coefficient of multiplicity of reserves is determined the dynamics of which is analyzed. Explanations of the behavior of the coefficient of multiplicity are given. Conclusions are made.