Model Development and Optimization

This monograph introduces a novel class of non-linear dynamic mathematical models that makes possible the modeling of problems of analysis and synthesis for a wide class of evolutionary systems. There are potentially unlimited uses of these mathematical models due to the unlimited quantity of different evolutionary systems that can be integrated at many different levels of difficulty. Part I of the book, on the general theory, is mainly devoted to the existence and uniqueness of solutions for the systems of equations of mathematical models and for respective optimization problems; Part II focuses on optimal numerical methods: and Part III presents various applications. Audience: Researchers, decision-makers, and students of applied mathematics, especially those with an interest in applications to economics, ecology, biology, immunology, medicine and health care.