TITLE:
Effect of Time Delay and Antibodies on HCV Dynamics with Cure Rate and Two Routes of Infection
AUTHORS:
Ahmed M. Elaiw, Shafeek A. Ghaleb, Aatef Hobiny
KEYWORDS:
HCV Infection, Distributed Time Delay, Global Stability, Cell-to-Cell Transmission, Lyapunov Function
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.6 No.5,
May
31,
2018
ABSTRACT: In this paper we propose and analyze an HCV dynamics
model taking into consideration the cure of infected hepatocytes and antibody
immune response. We incorporate both virus-to-cell and cell-to-cell
transmissions into the model. We incorporate a distributed-time delay to
describe the time between the HCV or infected cell contacts an uninfected
hepatocyte and the emission of new active HCV. We show that the solutions of
the proposed model are nonnegative and ultimately bounded. We derive two
threshold parameters which fully determine the existence and stability of the
three steady states of the model. Using Lyapunov functionals, we established
the global stability of the steady states. The theoretical results are
confirmed by numerical simulations.