TY - JOUR
T1 - Stability analysis of a model for HBV infection with cure of infected cells and intracellular delay
AU - Vargas-De-León, Cruz
PY - 2012/9/15
Y1 - 2012/9/15
N2 - A viral infection model of HBV infection of hepatocytes with "cure" of infected cells and intracellular delay is studied. The delay corresponds to the time necessary for a newly produced virion to become infectious particles. We prove that the stability is completely determined by the basic reproductive number R0(τ). If R0(τ) ≤1, the infection-free steady state is globally asymptotically stable. If R0(τ)>1 then infection-free steady state becomes unstable and a unique infected steady state exists and is locally asymptotically stable. On the other hand, we derive sufficient conditions for the global asymptotic stability of the infected steady state. Numerical simulations are presented to illustrate the results.
AB - A viral infection model of HBV infection of hepatocytes with "cure" of infected cells and intracellular delay is studied. The delay corresponds to the time necessary for a newly produced virion to become infectious particles. We prove that the stability is completely determined by the basic reproductive number R0(τ). If R0(τ) ≤1, the infection-free steady state is globally asymptotically stable. If R0(τ)>1 then infection-free steady state becomes unstable and a unique infected steady state exists and is locally asymptotically stable. On the other hand, we derive sufficient conditions for the global asymptotic stability of the infected steady state. Numerical simulations are presented to illustrate the results.
KW - Cure of infected cells
KW - Global stability
KW - Hepatitis B virus
KW - Lyapunov functionals
KW - Virus dynamics
UR - http://www.scopus.com/inward/record.url?scp=84864285201&partnerID=8YFLogxK
U2 - 10.1016/j.amc.2012.06.029
DO - 10.1016/j.amc.2012.06.029
M3 - Artículo
AN - SCOPUS:84864285201
SN - 0096-3003
VL - 219
SP - 389
EP - 398
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
IS - 1
ER -