Birth-and-death Processes And Limit Property In Random Environments

As we all know.Markov process is one of the most important stochastic processes.Which is used in industry,agriculture,economy,insurance,biology,medicine and sicialscience.etc.In recent years,the birth-and-death process in a random environment is de-veloping rapidly and has been a very important research area in the stochastic process,Itis necessary requirement that leads the theoretiral research about markovian processesto develop in depth and width.and it also has very important theoretical meaning andbroad applied prospects.In this paper,We discuss the limit properties of birth-and-process in a random environments.It consists of three chapters.In the first chapter,weintroduce the history of Markov chain in a random environment.The second chapter isabout the concept and existence of birth-and-death process in a random environment.Inthe last chapter,we discuss the convergence and equironment of birth-and-death processin a random environment.