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Global dynamics of delayed CHIKV infection model with multitarget cells

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Abstract

We propose a latent chikungunya viral infection model with multitarget cells and saturated incidence rate. The model is an \((3n+2)\)-dimensional system of nonlinear delay differential equations (DDEs) that describes the population dynamics of CHIKV, n categories of uninfected target cells, n categories of infected cells and antibodies. The model is incorporated by intracellular discrete or distributed time delays. The qualitative behavior of the model is studied. We investigate the global stability of the equilibria of the models by using direct Lyapunov method. The effect of the time delay on the stability of the equilibria has also been illustrated by numerical simulations.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia

    Ahmed M. Elaiw, Taofeek O. Alade & Saud M. Alsulami

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  1. Ahmed M. Elaiw
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  2. Taofeek O. Alade
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  3. Saud M. Alsulami
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Correspondence to Ahmed M. Elaiw.

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Elaiw, A.M., Alade, T.O. & Alsulami, S.M. Global dynamics of delayed CHIKV infection model with multitarget cells. J. Appl. Math. Comput. 60, 303–325 (2019). https://doi.org/10.1007/s12190-018-1215-7

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  • DOI: https://doi.org/10.1007/s12190-018-1215-7

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