## بخشی از متن مقاله Stability analysis of the transmission dynamics of an HBV model :

سال انتشار : 2016

تعداد صفحات :18

Hepatitis B virus (HBV) infection is a major public health problem in the world today. A mathematical model is formulated to describe the spread of hepatitis B, which can be controlled by vaccination as well as treatment. We study the dynamical behavior of the system with fixed control for both vaccination and treatment. The results shows that the dynamics of the model is completely determined by the basic reproductive number R_0. if R_0<1, the disease-free equilibrium is globally asymptotically stable by using approach that given by Kamgang and Sallet. Then the authors prove that if R_0>1, the disease-free equilibrium is unstable and the disease is uniformly persistent. Furthermore, If R_0>1, the unique endemic equilibrium is globally asymptotically stable by using a generalization of the Poincar e-Bendixson criterion.