On fractional order differential equations model for nonlocal epidemics
Identifieur interne : 003F51 ( Ncbi/Merge ); précédent : 003F50; suivant : 003F52On fractional order differential equations model for nonlocal epidemics
Auteurs : E. Ahmed [Égypte] ; A. S. Elgazzar [Arabie saoudite, Égypte]Source :
- Physica a [ 0378-4371 ] ; 2007.
Abstract
A fractional order model for nonlocal epidemics is given. Stability of fractional order equations is studied. The results are expected to be relevant to foot-and-mouth disease, SARS and avian flu.
Url:
DOI: 10.1016/j.physa.2007.01.010
PubMed: NONE
PubMed Central: 7125871
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PMC:7125871Le document en format XML
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<front><div type="abstract" xml:lang="en"><p>A fractional order model for nonlocal epidemics is given. Stability of fractional order equations is studied. The results are expected to be relevant to foot-and-mouth disease, SARS and avian flu.</p>
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<contrib-group><contrib contrib-type="author"><name><surname>Ahmed</surname>
<given-names>E.</given-names>
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<xref rid="aff1" ref-type="aff">a</xref>
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<contrib contrib-type="author"><name><surname>Elgazzar</surname>
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<email>elgazzar@mans.edu.eg</email>
<xref rid="aff2" ref-type="aff">b</xref>
<xref rid="aff3" ref-type="aff">c</xref>
<xref rid="cor1" ref-type="corresp">⁎</xref>
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<aff id="aff1"><label>a</label>
Mathematics Department, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt</aff>
<aff id="aff2"><label>b</label>
Mathematics Department, Faculty of Science, Al-Jouf University, P.O. Box 2014, Sakaka, Al-Jouf, Saudi Arabia</aff>
<aff id="aff3"><label>c</label>
Mathematics Department, Faculty of Education, 45111 El-Arish, Egypt</aff>
<author-notes><corresp id="cor1"><label>⁎</label>
Corresponding author. Mathematics Department, Al-Jouf University, P.O. Box 2014, Sakaka, Al-Jouf, Saudi Arabia. <email>elgazzar@mans.edu.eg</email>
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<year>2007</year>
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<volume>379</volume>
<issue>2</issue>
<fpage>607</fpage>
<lpage>614</lpage>
<history><date date-type="received"><day>17</day>
<month>6</month>
<year>2006</year>
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<permissions><copyright-statement>Copyright © 2007 Elsevier B.V. All rights reserved.</copyright-statement>
<copyright-year>2007</copyright-year>
<copyright-holder>Elsevier B.V.</copyright-holder>
<license><license-p>Since January 2020 Elsevier has created a COVID-19 resource centre with free information in English and Mandarin on the novel coronavirus COVID-19. The COVID-19 resource centre is hosted on Elsevier Connect, the company's public news and information website. Elsevier hereby grants permission to make all its COVID-19-related research that is available on the COVID-19 resource centre - including this research content - immediately available in PubMed Central and other publicly funded repositories, such as the WHO COVID database with rights for unrestricted research re-use and analyses in any form or by any means with acknowledgement of the original source. These permissions are granted for free by Elsevier for as long as the COVID-19 resource centre remains active.</license-p>
</license>
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<abstract><p>A fractional order model for nonlocal epidemics is given. Stability of fractional order equations is studied. The results are expected to be relevant to foot-and-mouth disease, SARS and avian flu.</p>
</abstract>
<kwd-group><title>Keywords</title>
<kwd>Fractional order differential equations</kwd>
<kwd>Stability</kwd>
<kwd>Applications to nonlocal epidemic models</kwd>
</kwd-group>
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