The monograph is devoted to studying the possibilities of innovative synergetic and classical mathematical methods in economics for the analysis of global crises and catastrophes. The causes and development of the world's major economic crises are investigated. We have considered a wide range of issues and problems affecting the global crises and catastrophes, cyclical economic development, world food crisis, environmental catastrophes and energy crises, the state of the chemicals industry, export of mineral fertilizers, and the overall Ukrainian economy in crisis. This volume is recommended for a wide range of scholars and specialists in the field of international economy, executives and managers of industrial and commercial companies, undergraduate and graduate university students of economics and mathematical disciplines.