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A stochastic analysis for a triple delayed SIQR epidemic model with vaccination and elimination strategies

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Abstract

In this paper, a delayed SIQR epidemic model with vaccination and elimination hybrid strategies is analysed under a white noise perturbation. We prove the existence and the uniqueness of a positive solution. Afterwards, we establish a stochastic threshold \({\mathcal {R}}_s\) in order to study the extinction and persistence in mean of the stochastic epidemic system. Then we investigate the existence of a stationary distribution for the delayed stochastic model. Finally, some numerical simulations are presented to support our theoretical results.

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Acknowledgements

The authors are very grateful to the Editor and the Reviewers for their helpful and constructive comments and suggestions. The authors are also thankful to the laboratory MAD (Management de l’ agriculture Durable) of EST Sidi Bannour, the Faculty of sciences, Ibn Tofail University, Kenitra and Linnaeus University, \(V\ddot{a}xj\ddot{o}\) for their help and support.

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Authors and Affiliations

  1. Département de Mathématiques, Faculté des Sciences, Université Ibn Tofail, BP 133, Kénitra, Morocco

    Mohamed El Fatini & Idriss Sekkak

  2. Department of Mathematics, Linnaeus University, 351 95, Växjö, Sweden

    Roger Pettersson

  3. Chouaib Doukkali University EST Sidi Bennour, El Jadida, Morocco

    Regragui Taki

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  1. Mohamed El Fatini
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  2. Roger Pettersson
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  3. Idriss Sekkak
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  4. Regragui Taki
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Correspondence to Mohamed El Fatini.

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El Fatini, M., Pettersson, R., Sekkak, I. et al. A stochastic analysis for a triple delayed SIQR epidemic model with vaccination and elimination strategies. J. Appl. Math. Comput. 64, 781–805 (2020). https://doi.org/10.1007/s12190-020-01380-1

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  • DOI: https://doi.org/10.1007/s12190-020-01380-1

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