TY - JOUR
T1 - Global properties for virus dynamics model with mitotic transmission and intracellular delay
AU - Vargas-De-León, Cruz
PY - 2011/9/15
Y1 - 2011/9/15
N2 - In this paper we study the basic model of viral infections with mitotic transmission and intracellular delay discrete. The delay corresponds to the time between infection of uninfected cells and the emission of virus on a cellular level. By means of Volterra-type Lyapunov functionals, we provide the global stability for this model. Let η be the number of virus produced per infected cell. If ηcrit, the critical number, satisfies η≤ηcrit, then the virus-free steady state is globally asymptotically stable. On the contrary if η>ηcrit, then the infected steady state is globally asymptotically stable if a sufficient condition is satisfied.
AB - In this paper we study the basic model of viral infections with mitotic transmission and intracellular delay discrete. The delay corresponds to the time between infection of uninfected cells and the emission of virus on a cellular level. By means of Volterra-type Lyapunov functionals, we provide the global stability for this model. Let η be the number of virus produced per infected cell. If ηcrit, the critical number, satisfies η≤ηcrit, then the virus-free steady state is globally asymptotically stable. On the contrary if η>ηcrit, then the infected steady state is globally asymptotically stable if a sufficient condition is satisfied.
KW - Global stability
KW - Intracellular delay discrete
KW - Mitotic transmission
KW - Virus dynamics model
KW - Volterra-type Lyapunov functional
UR - http://www.scopus.com/inward/record.url?scp=79955896316&partnerID=8YFLogxK
U2 - 10.1016/j.jmaa.2011.04.012
DO - 10.1016/j.jmaa.2011.04.012
M3 - Artículo
SN - 0022-247X
VL - 381
SP - 884
EP - 890
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 2
ER -