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Mathematical Biosciences and Engineering

2005, Volume 2, Issue 3: 437-443. doi: 10.3934/mbe.2005.2.437
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Internal eradicability for an epidemiological model with diffusion

  • 1.
    Faculty of Mathematics, University “Al.I. Cuza” and, Institute of Mathematics “Octav Mayer”, Iaşi 700506
  • 2.
    Mathématiques Appliquées de Bordeaux, UMR CNRS 5466, case 26, Université Bordeaux 2, 33076 Bordeaux Cedex
  • Received: 01 January 2005 Accepted: 29 June 2018 Published: 01 August 2005

  • MSC : 92D30.

  • This work is concerned with the analysis of the possibility for eradicating a disease in an infected population. The epidemiological model under study is of SI type with diffusion. We assume the policy strategy acting on the infected individuals over a subset of the whole spatial territory. Using the framework of nonlinear reaction-diffusion equations, and spectral theory of linear differential operators, we give necessary conditions and sufficient conditions of eradicability.

    Citation: Sebastian Aniţa, Bedreddine Ainseba. Internal eradicability for an epidemiological model with diffusion[J]. Mathematical Biosciences and Engineering, 2005, 2(3): 437-443. doi: 10.3934/mbe.2005.2.437

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  • This work is concerned with the analysis of the possibility for eradicating a disease in an infected population. The epidemiological model under study is of SI type with diffusion. We assume the policy strategy acting on the infected individuals over a subset of the whole spatial territory. Using the framework of nonlinear reaction-diffusion equations, and spectral theory of linear differential operators, we give necessary conditions and sufficient conditions of eradicability.


  • This article has been cited by:

    1. Laura-Iulia Aniţa, Sebastian Aniţa, Internal eradicability of a diffusive epidemic system via feedback control, 2011, 12, 14681218, 2294, 10.1016/j.nonrwa.2011.01.010
    2. Viorel Arnăutu, Ana-Maria Moşneagu, Numerical Applications for Insulin Treatment Models, 2011, 57, 1221-8421, 10.2478/v10157-010-0036-2
    3. Gabriela Marinoschi, A model of an epidemic mapping, 2018, 67, 0035-5038, 271, 10.1007/s11587-018-0367-y
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  • © 2005 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

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