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Stability dynamics of a delayed generalized Chikungunya virus infection model

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Abstract

In this paper, a general nonlinear Chikungunya virus (CHIKV) dynamics model is formulated and analyzed. We assume that, the production, removal and proliferation rates of all compartments as well as the incidence rate of infection are modeled by general nonlinear functions that satisfy a set of reasonable conditions. The model is incorporated by two types of discrete time delays. We prove the nonnegativity and boundedness of the solutions of the model. We established the global stability of the steady states of the model by constructing suitable Lyapunov functionals. The numerical simulations are performed to illustrate our theoretical results. The effect of time delay on the virus dynamics is studied.

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Acknowledgements

The authors would like to thank the anonymous reviewers for their useful suggestions that greatly improved the quality of this paper.

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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

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

  2. Department of Mathematics, Faculty of Science, AlAzhar University, Assiut, Egypt

    Ahmed M. Elaiw

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

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Alade, T.O., Elaiw, A.M. & Alsulami, S.M. Stability dynamics of a delayed generalized Chikungunya virus infection model. J. Appl. Math. Comput. 65, 575–595 (2021). https://doi.org/10.1007/s12190-020-01405-9

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