Modeling and application of discrete system for HBV infection

摘要

Discrete events are more practical than continuous systems for describing biological dynamics. This study proposes a discrete model to describe hepatitis B virus (HBV) infection dynamics. The proposed discrete difference system is more reasonable than the previous differential equation models. This system has an infection free equilibrium point Q 1 and an endemic equilibrium Q2. A basic virus reproductive number R0 independent on the number of total cells of an infected target organ is deduced. Using the linearized stability theorem shows that if R0 <; 1, the virus free equilibrium point Q1 is locally stable. Based on the original experiment data of a chimpanzee, using MATLAB and C++ mixed programming simulates the dynamic of acutely HBV infection. The simulation results are good in agreement with the experiment data.