Stability of delayed CHIKV dynamics model with cell-to-cell transmission

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...

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Bibliographic Details
Published in:Journal of intelligent & fuzzy systems 2020-01, Vol.38 (3), p.2425-2433
Main Authors: Elaiw, Ahmed M., Almalki, Sami E., Hobiny, A.D.
Format: Article
Language:English
Subjects:
Antibodies
Chikungunya virus
Dynamic stability
Liapunov functions
Time lag
Viruses
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Summary: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.
ISSN:1064-1246
1875-8967
DOI:10.3233/JIFS-179531