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On a stochastic disease model with vaccination

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Abstract

We propose a stochastic disease model where vaccination is included and such that the immunity isn’t permanent. The existence, uniqueness and positivity of the solution and the stability of disease free equilibrium is studied. The numerical simulation is done.

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Authors and Affiliations

  1. Dipartimento di Matematica ed Applicazioni, Università di Palermo, Via Archirafi, 34, 90123, Palermo, Italia

    Elisabetta Tornatore, Stefania Maria Buccellato & Pasquale Vetro

Authors
  1. Elisabetta Tornatore
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  2. Stefania Maria Buccellato
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  3. Pasquale Vetro
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Correspondence to Elisabetta Tornatore.

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In memory of Benedetto Pettineo

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Tornatore, E., Buccellato, S.M. & Vetro, P. On a stochastic disease model with vaccination. Rend. Circ. Mat. Palermo 55, 223–240 (2006). https://doi.org/10.1007/BF02874704

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  • DOI: https://doi.org/10.1007/BF02874704

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