Kejun Zhuang, "Dynamical Analysis of a Delayed Hepatitis B Virus Model with Immune Responses," WSEAS Transactions on Mathematics, vol. 15, pp. 325-334, 2016, DOI:
Kejun Zhuang. Dynamical Analysis of a Delayed Hepatitis B Virus Model with Immune Responses.
WSEAS Transactions on Mathematics. 2016;15:325-334.
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.
Pages: 325-334 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 15, 2016, Art. #31 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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