Title of article :
Global analysis for delay virus dynamics model with Beddington–DeAngelis functional response
Author/Authors :
Huang، نويسنده , , Gang and Ma، نويسنده , , Wanbiao and Takeuchi، نويسنده , , Yasuhiro، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2011
Abstract :
A class of virus dynamics model with intracellular delay and nonlinear infection rate of Beddington–DeAngelis functional response is analysed in this paper. By constructing suitable Lyapunov functionals and using LaSalle-type theorem for delay differential equations, we show that the global stability of the infection-free equilibrium and the infected equilibrium depends on the basic reproductive ratio R 0 , that is, the former is globally stable if R 0 ≤ 1 and so is the latter if R 0 > 1 . Our results extend the known results on delay virus dynamics considered in the other papers and suggest useful methods to control virus infection.
Keywords :
Intracellular delay , Global properties , Lyapunov functional , Functional response
Journal title :
Applied Mathematics Letters
Journal title :
Applied Mathematics Letters