Hereditary Mathematical Model of the Dynamics of Radon Accumulation in the Accumulation Chamber

Mathematical modeling is used to study the hereditary mechanism of accumulation radioactive radon gas in a chamber with gas-discharge counters at several observation points Kamchatka. Continuous monitoring variations volumetric activity order identify anomalies its values one effective methods for studying stress–strain state geo-environment possibility building strong earthquake forecasts. The model equation transfer, taking into account and presence effect (heredity or memory), nonlinear differential Riccati non-constant coefficients fractional derivative sense Gerasimov–Caputo, which local initial conditions are set (Cauchy problem). proposed generalization previously known an integer (classical model). This fact indicates preservation properties obtained solution according classical model, as well new that applied points. paper shows due derivative, quadratic nonlinearity equation, results numerical simulation give better approximation experimental data than by models. transport more flexible, allows using it describe various anomalous effects volume activity.