Dynamic Properties Of A Reaction-Diffusion Differential-Algebraic Biological Economic System

Differential-algebraic system with delay is called by generalized system with delay or Singular System with delay. It is one of the most important tools that describe dynamical systems. In1970s, it was widely used in power system, biological system, mechanical system, chemical experiment model. In1980s, it draw in optimal feedback, economic forecast analysis, decision theory. Today, because of its background in science, engineering and other fields, it is concerned in math, control science where it is in-depth studied.Reaction-diffusion system is a hot issue in recent years. It is widely used in chemical reaction analysis, fire spread predication, population model. Some theories of partial differential equations are used in ordinary differential equations. In20th century, reaction-diffusion system is more and more important in physics, applied mathematics, chemistry, mechanics and other basic subjects as soon as engineering technology, and social science. More and more people study it as to comprehensive theories in linear field. They make systems become real and significant.