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Global stability for an age-structured multistrain virus dynamics model with humoral immunity

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Abstract

In this paper, we present an age-structured multistrain mathematical model for infectious disease in vivo with infection age of cells. The model considers strain specific immune variables and the effect of absorption of pathogens into uninfected cells. By the construction of a Lyapunov functional, we prove the global stability results of the model, and show that several strains can survive at an equilibrium. We present full mathematical details of the proof of the global stability. The proof contains persistence arguments.

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Acknowledgements

The authors would like to thank the editor and anonymous referees for very helpful suggestions and comments which led to improvement of our original manuscripts. This work was supported by JSPS KAKENHI Grant Number JP17K05365.

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Authors and Affiliations

  1. Graduate School of Environmental and Life Science, Okayama University, Okayama, Japan

    Tsuyoshi Kajiwara, Toru Sasaki & Yoji Otani

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  1. Tsuyoshi Kajiwara
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  2. Toru Sasaki
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  3. Yoji Otani
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Correspondence to Tsuyoshi Kajiwara.

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Kajiwara, T., Sasaki, T. & Otani, Y. Global stability for an age-structured multistrain virus dynamics model with humoral immunity. J. Appl. Math. Comput. 62, 239–279 (2020). https://doi.org/10.1007/s12190-019-01283-w

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  • DOI: https://doi.org/10.1007/s12190-019-01283-w

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