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title

Backward bifurcations in epidemiological models

Credit to Download: 1 | Page Numbers 5 | Abstract Views: 16
Year: 2018
COI code: BIMM01_027
Paper Language: English

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Authors Backward bifurcations in epidemiological models

  Azizeh Jabbari - Marand Faculty of Engineering, University of Tabriz, Tabriz, Iran
  Hossein Kheiri, - Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
  Mohsen Jafari, - Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
  Fatemeh Iranzad - Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran

Abstract:

This paper is about the phenomenological study of bifurcations in epidemiological models, in partic-ular, in backward bifurcation. We consider models that exhibit such bifurcation and also consider the factors that cause them. The phenomenon of backward bifurcation in disease transmission models, where a stable endemic equilibrium co-exists with a stable disease-free equilibrium when the associated repro-duction number is less than unity, has been observed in a number of disease transmission models. The epidemiological consequence of backward bifurcation is that the classical requirement of the reproduction number being less than unity becomes only a necessary, but not sufficient, for disease elimination (hence, the presence of this phenomenon in the transmission dynamics of a disease makes its effective control in the community difficult).

Keywords:

Backward bifurcation, Equilibrium, Reproduction number, Stability

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COI code: BIMM01_027

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Jabbari, Azizeh; Hossein Kheiri,; Mohsen Jafari, & Fatemeh Iranzad, 2018, Backward bifurcations in epidemiological models, First National Bioethics Conference, نيشابور, دانشگاه نيشابور, https://www.civilica.com/Paper-BIMM01-BIMM01_027.htmlInside the text, wherever referred to or an achievement of this article is mentioned, after mentioning the article, inside the parental, the following specifications are written.
First Time: (Jabbari, Azizeh; Hossein Kheiri,; Mohsen Jafari, & Fatemeh Iranzad, 2018)
Second and more: (Jabbari; Kheiri,; Jafari, & Iranzad, 2018)
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Type: state university
Paper No.: 15302
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