Global dynamical analysis of H5 subtype avian influenza model

Abstract

In order to study the comprehensive influence of factors such as contact between resident birds and poultry, poultry recruitment, environment and other factors on the transmission and control of H5 subtype avian influenza virus, a dynamic model of resident birds and poultry is developed. First, the basic reproduction number [Formula: see text] is obtained. When [Formula: see text], the dynamic model have a unique positive equilibrium and the disease persisted. Second, the Lyapunov functions is constructed to determine the global stability of the disease-free equilibrium and the endemic equilibrium. The results of numerical simulation show that regular disinfection and sterilization can increase the mortality of virus and effectively prevent the occurrence of epidemic situation. Although closing the live poultry trading market is not the main measure to control the epidemic, but it can control the epidemic to a lower level. Therefore, the regular closure of trading markets and sterilization can prevent and control the spread of the epidemic.