Global analysis for delay virus dynamics model with BeddingtonDeAngelis functional response

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Abstract

A class of virus dynamics model with intracellular delay and nonlinear infection rate of BeddingtonDeAngelis 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 R0, that is, the former is globally stable if R0≤1 and so is the latter if R0>1. Our results extend the known results on delay virus dynamics considered in the other papers and suggest useful methods to control virus infection. © 2011 Elsevier Ltd. All rights reserved.

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APA

Huang, G., Ma, W., & Takeuchi, Y. (2011). Global analysis for delay virus dynamics model with BeddingtonDeAngelis functional response. Applied Mathematics Letters, 24(7), 1199–1203. https://doi.org/10.1016/j.aml.2011.02.007

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