WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 15, 2016
Dynamical Analysis of a Delayed Hepatitis B Virus Model with Immune Responses
Author:
Abstract: In this paper, a novel hepatitis B virus infection model with time delay and CTL immune responses is proposed. The threshold parameters are derived and existence of equilibria is discussed. Then, the uniform boundedness and nonnegativeness of solutions are obtained. By analyzing the transcendental characteristic equations, asymptotic stabilities of nonnegative equilibria are investigated. In particular, the occurrence of Hopf bifurcation phenomena is considered by regarding time delay as a bifurcation parameter. Finally, some numerical simulations are given to confirm the theoretical findings.