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Global analysis for delay virus dynamics model with Beddington–DeAngelis functional response

✍ Scribed by Gang Huang; Wanbiao Ma; Yasuhiro Takeuchi

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
215 KB
Volume
24
Category
Article
ISSN
0893-9659

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✦ Synopsis

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.

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