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AIMS Mathematics

2018, Volume 3, Issue 3: 391-408. doi: 10.3934/Math.2018.3.391
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Research article

Dynamics analysis of stochastic tuberculosis model transmission withimmune response

  • 1.
    Université Marien Ngouabi, Faculté des Sciences et Techniques, BP 69 Brazzaville, Congo
  • 2.
    Institut National de la Recherche en Sciences Exactes et Naturelles, Avenue de l'Auberge de Gascogne BP 2400 Brazzaville, Congo
  • Received: 13 September 2018 Accepted: 08 October 2018 Published: 11 October 2018

  • MSC : 35K55, 80A22

  • In this paper we extend the tuberculosis epidemic model from a deterministic framework to a deterministic model with immunue response and after to stochastic one. We formulate it as a stochastic di erential equation. We, then, etablish the stabilities of di erent equilibria, and give conditions for extinction and persistence of the desease.

    Citation: Jean Luc Dimi, Texance Mbaya. Dynamics analysis of stochastic tuberculosis model transmission withimmune response[J]. AIMS Mathematics, 2018, 3(3): 391-408. doi: 10.3934/Math.2018.3.391

    Related Papers:

  • In this paper we extend the tuberculosis epidemic model from a deterministic framework to a deterministic model with immunue response and after to stochastic one. We formulate it as a stochastic di erential equation. We, then, etablish the stabilities of di erent equilibria, and give conditions for extinction and persistence of the desease.


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  • © 2018 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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    沈阳化工大学材料科学与工程学院 沈阳 110142

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