Stability and Hopf Bifurcation in a Delayed HIV Infection Model with General Incidence Rate and Immune Impairment
2015 ◽
Vol 2015
◽
pp. 1-14
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Keyword(s):
We investigate the dynamical behavior of a delayed HIV infection model with general incidence rate and immune impairment. We derive two threshold parameters, the basic reproduction numberR0and the immune response reproduction numberR1. By using Lyapunov functional and LaSalle invariance principle, we prove the global stability of the infection-free equilibrium and the infected equilibrium without immunity. Furthermore, the existence of Hopf bifurcations at the infected equilibrium with CTL response is also studied. By theoretical analysis and numerical simulations, the effect of the immune impairment rate on the stability of the infected equilibrium with CTL response has been studied.
2018 ◽
Vol 2018
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pp. 1-9
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Keyword(s):
2018 ◽
Vol 28
(09)
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pp. 1850109
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Keyword(s):
2011 ◽
Vol 62
(8)
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pp. 3091-3102
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Keyword(s):
Keyword(s):
2013 ◽
Vol 791-793
◽
pp. 1322-1327
2015 ◽
Vol 2015
◽
pp. 1-11
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2020 ◽