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On the generalized Chikungunya virus dynamics model with distributed time delays

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Abstract

In this paper, a stability analysis of a general nonlinear Chikungunya virus dynamics model is presented. Two kinds of infected cells, namely latently infected and actively infected are incorporated into the model. It is assumed that, the incidence rate of infection as well as the production, removal and proliferation rates of all compartments are modeled by general nonlinear functions that satisfy sufficient conditions. The model contains two distributed time delays. The nonnegativity and boundedness of the solutions of the model are investigated. Constructions of suitable Lyapunov functionals are established to prove the global stability of the steady states of the model. Numerical simulations are performed to confirm the validity of the established theoretical results.

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Acknowledgements

The author thanks the anonymous referees for very helpful comments and suggestions which have improved the presentation and the content of the paper.

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

    Taofeek O. Alade

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Correspondence to Taofeek O. Alade.

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Alade, T.O. On the generalized Chikungunya virus dynamics model with distributed time delays. Int. J. Dynam. Control 9, 1250–1260 (2021). https://doi.org/10.1007/s40435-020-00723-x

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  • DOI: https://doi.org/10.1007/s40435-020-00723-x

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