Maoxing Liu was born in Shandong Province on June 28 1978. I had completed Master of Science degree under the supervision of Professor Yicang Zhou in the Department of Applied Mathematics of Xi'an Jiaotong University. In my thesis work and the publications, several discrete HIV/AIDS models were studied. After graduated from Xi'an Jiaotong University, I have become a teacher in North University of China. I have given some HIV/AIDS models and impulsive models in epidemiology and ecology with my partners. My three-year research experiences help me into a researcher in Mathematical Biology. In 2009, I have finished my Ph.D in Fudan University, majored in applied mathematics. My main mathematical interests are stability and bifurcation theory of differential equations, nonlinear dynamical systems, stochastic differential equations and numerical analysis. My main scientific interests lie in applying mathematical methods to models that arise in biology, especially epidemiology and ecology. My professional goal is to continue to develop and apply mathematical tools to problems arising in biology with an emphasis on collaborative and interdisciplinary research. My research activities cover a wide range of fields including stochastic differential equations, complex networks, spatial pattern formation, and so on. In other recent work, we developed Lassalle invariable principle for discrete stochastic differential equations driven by Brownian motion. This method is applicable to a wide class of discrete systems.