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Analysis of a Virus Model with Cure Rate, General Incidence Function and Time Delay

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Abstract

In this work, we investigate a virus model with time delay and function of general incidence. We illustrate the solvability through solutions for the model. Using Lyapunov functionals, we prove that if the basic reproduction number \(R_0 \le 1\), then the infection-free equilibrium is globally asymptotically stable, and when \(R_0 > 1\), the infection will persist by the global asymptotic stability of infection equilibrium.

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Acknowledgements

The authors would like to thank the referees for their suggestions and helpful comments which improved the presentation of the original manuscript.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences, Razi University, Kermanshahs, 67149, Iran

    Pegah Taghiei Karaji & Nemat Nyamoradi

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  1. Pegah Taghiei Karaji
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  2. Nemat Nyamoradi
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Correspondence to Nemat Nyamoradi.

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Taghiei Karaji, P., Nyamoradi, N. Analysis of a Virus Model with Cure Rate, General Incidence Function and Time Delay. Iran J Sci Technol Trans Sci 45, 661–668 (2021). https://doi.org/10.1007/s40995-020-01040-w

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  • DOI: https://doi.org/10.1007/s40995-020-01040-w

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