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Abstract
In this paper, we investigate the dynamical behavior of a virus infection model with delayed humoral immunity. By using suitable Lyapunov functional and the LaSalleʼs invariance principle, we establish the global stabilities of the two boundary equilibria. If R0<1, the uninfected equilibrium E0 is globally asymptotically stable; if R1<1<R0, the infected equilibrium without immunity E1 is globally asymptotically stable. When R1>1, we obtain the sufficient conditions to the local stability of the infected equilibrium with immunity E2. The time delay can change the stability of E2 and lead to the existence of Hopf bifurcations. The stabilities of bifurcating periodic solutions is also studied. We check our theorems with numerical simulations in the end.
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