Affiliations: [a]
Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
| [b]
Jeddah College of Technology, Technical and Vocational Training Corporation, Jeddah, Saudi Arabia
Correspondence:
[*]
Corresponding author. Ahmed M. Elaiw, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia. E-mail: [email protected].
Abstract: This paper investigates the global dynamics of Chikungunya virus (CHIKV) infection model with antibody immune response. We incorporate two ways of transmissions CHIKV-to-cell and cell-to-cell. We incorporate three types of discrete time delays into the model. The first time delay is the time between CHIKV entry an uninfected monocyte to become latent infected. The second time delay is the time between CHIKV entry on uninfected monocyte and the production of immature CHIKV. The third time delay represents the CHIKV’s maturation time. Nonnegativity and boundedness properties of the solutions are proven. Further, global stability of the equilibria is established by constructing Lyapunov functions and by applying applying LaSalle’s invariance principle.
Keywords: Chikungunya infection, global stability, Lyapunov function, time delay, latency, cell-to-cell transmission
