MATHEMATICAL MODEL FOR RISK ASSESSMENT OF CRITICAL INFRASTRUCTURE

Mathematical models have been developed to study the vulnerability of critical infrastructure (CI), which allow for the assessment of the probability of selecting a particular target for an attack on CI, the likelihood that the attack will be successful, and the extent of human and material losses from the attack on CI. Risk assessment is carried out using a six-sector Lorenz model with variable coefficients, which integrates uniformly described economic sectors into a single structure. Each sector is considered in terms of productivity levels, the number of jobs, and structural disruptions. The use of smooth function theory methods allows for the forecasting of crisis phenomena, the selection of strategies to ensure a given level of CI security, the study of the emergence of rapid, abrupt changes in CI, the ranking of various threat levels, and the identification of weak links that significantly impact the formation of instability and the deformation of the security space. Keywords: Lorentz model, mathematical modeling, critical infrastructure, deterministic chaos, risk assessment.