SUMMARY
The article aims at research and development of an integrated model of sustainable noosphere, secure and sustainable development of socio-ecological and economic processes.The study used formal mathematical methods, the method of economic and mathematical modeling.Formal mathematical methods of nonlinear science adequate to describe, analyze and simulate the decision-making processes. The dynamics of the interaction processes and interferences (ie dynamics of synergetic processes) cognitive or emotionally modes (group of essential parameters or variables) between themselves and the emotional and cognitive events with each other can be described by a system of equations of Lotka-Volterra.The paper proposes an innovative model of sustainable development noosphere socio-ecological-economic and humanitarian system, generalized synergetic model dynamics with uncertainties and risks.Key words: ecological economics, sustainable development, mathematical modeling, synergetic processes.