Research On Dynamical Properties Of Several Types Of Difference Equations Of Exponential Form

This dissertation consists of six chapters. Its concern focuses on dynamical behaviors of some difference equations of exponential.The first chapter is preface, in which the studying background, theoretical frame of this thesis are exhibited. And it displays the fundamental knowledge in concern with this thesis.In the second chapter, we study the boundedness and the asymptotic behavior of positive solutions for the difference equation xn+i= a+bxne-xn-1, where a, b are positive constants, and the initial values x-1, x0 are nonnegative numbers.We pay our attention in the third chapter to investigate the asymptotic behavior of positive solutions for difference equations with three parameters xn+1= a+bx-n-1+cxn-1e-xn where a?(0,?), b?(0,1), c? (0,?), and the initial values x-1, x0 are positive numbers.The emphasis in the fourth chapter is to study the boundedness and the global asymptotic behavior of the positive solutions of the system of difference equation where the parameters a, b, c, d are positive constants, and the initial values x-i, x0,y-1, y0 are positive numbers.In the fifth chapter, we study the dynamic analysis of Bertrand competition model with exponential form demand function where ?i, ?i ?(0,?), i= 1,2, and the initial values x0, y0 are positive numbers.All of the above researches are accompanied with computer simulations. The experimental results not only illustrate the evolutionary tendency of the solutions, but also validate the presented results.