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Stability and Hopf bifurcation on an immunity delayed HBV/HCV model with intra- and extra-hepatic coinfection and saturation incidence.
- Source :
- Nonlinear Dynamics; Aug2023, Vol. 111 Issue 15, p14485-14511, 27p
- Publication Year :
- 2023
-
Abstract
- A hepatitis B or C virus (HBV or HCV) epidemic model with intra- and extra-hepatic coinfection, immune delay and saturation incidence, as well as antiviral therapy is proposed in this paper. The existence of equilibria (infection-free, immune-free and immune-activated), the basic reproduction numbers, i.e., R 0 , R 1 , are given respectively, by which the criteria on (local and global) stability of above equilibria are established. Furthermore, if the immune delay τ > τ 0 , both the existence of subcritical (supercritical) Hopf bifurcation on the immune-activated equilibrium E ∗ , and the stability of bifurcating periodic solutions are obtained. Finally, the theoretical results are demonstrated by numerical simulations. We derive that the immune delay and intra- and extra-hepatic coinfection have significant influence on the transmission of HBV/HCV, could cause more complicated dynamics at E ∗ from stability to unstablity untill bifurcation, which greatly increases the difficulty of disease control. While effective antiviral therapy could evidently decrease the spread of HBV/HCV. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0924090X
- Volume :
- 111
- Issue :
- 15
- Database :
- Complementary Index
- Journal :
- Nonlinear Dynamics
- Publication Type :
- Academic Journal
- Accession number :
- 164982610
- Full Text :
- https://doi.org/10.1007/s11071-023-08580-x