On fractional order differential equations model for nonlocal epidemics
Identifieur interne : 000F29 ( Pmc/Checkpoint ); précédent : 000F28; suivant : 000F30On 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
Affiliations:
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Box 2014, Sakaka, Al-Jouf, Saudi Arabia</nlm:aff><country xml:lang="fr">Arabie saoudite</country><wicri:regionArea>Mathematics Department, Faculty of Science, Al-Jouf University, P.O. 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Ahmed</name><affiliation wicri:level="1"><nlm:aff id="aff1">Mathematics Department, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt</nlm:aff><country xml:lang="fr">Égypte</country><wicri:regionArea>Mathematics Department, Faculty of Science, Mansoura University, 35516 Mansoura</wicri:regionArea><wicri:noRegion>35516 Mansoura</wicri:noRegion></affiliation></author><author><name sortKey="Elgazzar, A S" sort="Elgazzar, A S" uniqKey="Elgazzar A" first="A. S." last="Elgazzar">A. S. Elgazzar</name><affiliation wicri:level="1"><nlm:aff id="aff2">Mathematics Department, Faculty of Science, Al-Jouf University, P.O. Box 2014, Sakaka, Al-Jouf, Saudi Arabia</nlm:aff><country xml:lang="fr">Arabie saoudite</country><wicri:regionArea>Mathematics Department, Faculty of Science, Al-Jouf University, P.O. Box 2014, Sakaka, Al-Jouf</wicri:regionArea><wicri:noRegion>Al-Jouf</wicri:noRegion></affiliation><affiliation wicri:level="1"><nlm:aff id="aff3">Mathematics Department, Faculty of Education, 45111 El-Arish, Egypt</nlm:aff><country xml:lang="fr">Égypte</country><wicri:regionArea>Mathematics Department, Faculty of Education, 45111 El-Arish</wicri:regionArea><wicri:noRegion>45111 El-Arish</wicri:noRegion></affiliation></author></analytic><series><title level="j">Physica a</title><idno type="ISSN">0378-4371</idno><idno type="eISSN">0378-4371</idno><imprint><date when="2007">2007</date></imprint></series></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><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></div></front><back><div1 type="bibliography"><listBibl><biblStruct><analytic><author><name sortKey="Diekmann, O" uniqKey="Diekmann O">O. Diekmann</name></author><author><name sortKey="Heesterbeek, J A P" uniqKey="Heesterbeek J">J.A.P. Heesterbeek</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Stanislavsky, A A" uniqKey="Stanislavsky A">A.A. Stanislavsky</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Rocco, A" uniqKey="Rocco A">A. Rocco</name></author><author><name sortKey="West, B J" uniqKey="West B">B.J. West</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Matignon, D" uniqKey="Matignon D">D. Matignon</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Ahmed, E" uniqKey="Ahmed E">E. Ahmed</name></author><author><name sortKey="El Sayed, A M A" uniqKey="El Sayed A">A.M.A. El-Sayed</name></author><author><name sortKey="Elsaka, H A A" uniqKey="Elsaka H">H.A.A. Elsaka</name></author></analytic></biblStruct><biblStruct></biblStruct><biblStruct><analytic><author><name sortKey="Mishina, A P" uniqKey="Mishina A">A.P. Mishina</name></author><author><name sortKey="Proskuryakov, I V" uniqKey="Proskuryakov I">I.V. Proskuryakov</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Li, C" uniqKey="Li C">C. Li</name></author><author><name sortKey="Chen, G" uniqKey="Chen G">G. Chen</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Li, C" uniqKey="Li C">C. Li</name></author><author><name sortKey="Chen, G" uniqKey="Chen G">G. Chen</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Edelstein Keshet, L" uniqKey="Edelstein Keshet L">L. Edelstein-Keshet</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Kaneko, K" uniqKey="Kaneko K">K. Kaneko</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Barnett, S" uniqKey="Barnett S">S. Barnett</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Lajmanovich, A" uniqKey="Lajmanovich A">A. Lajmanovich</name></author><author><name sortKey="Yorke, J A" uniqKey="Yorke J">J.A. Yorke</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Ball, F" uniqKey="Ball F">F. Ball</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Ahmed, E" uniqKey="Ahmed E">E. Ahmed</name></author><author><name sortKey="Hegazi, A S" uniqKey="Hegazi A">A.S. Hegazi</name></author><author><name sortKey="Elgazzar, A S" uniqKey="Elgazzar A">A.S. Elgazzar</name></author></analytic></biblStruct></listBibl></div1></back></TEI><pmc article-type="research-article"><pmc-dir>properties open_access</pmc-dir>
<front><journal-meta><journal-id journal-id-type="nlm-ta">Physica A</journal-id><journal-id journal-id-type="iso-abbrev">Physica A</journal-id><journal-title-group><journal-title>Physica a</journal-title></journal-title-group><issn pub-type="ppub">0378-4371</issn><issn pub-type="epub">0378-4371</issn><publisher><publisher-name>Elsevier B.V.</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="pmc">7125871</article-id><article-id pub-id-type="publisher-id">S0378-4371(07)00062-3</article-id><article-id pub-id-type="doi">10.1016/j.physa.2007.01.010</article-id><article-categories><subj-group subj-group-type="heading"><subject>Article</subject></subj-group></article-categories><title-group><article-title>On fractional order differential equations model for nonlocal epidemics</article-title></title-group><contrib-group><contrib contrib-type="author"><name><surname>Ahmed</surname><given-names>E.</given-names></name><xref rid="aff1" ref-type="aff">a</xref></contrib><contrib contrib-type="author"><name><surname>Elgazzar</surname><given-names>A.S.</given-names></name><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></contrib></contrib-group><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></corresp></author-notes><pub-date pub-type="pmc-release"><day>16</day><month>2</month><year>2007</year></pub-date><pmc-comment> PMC Release delay is 0 months and 0 days and was based on .</pmc-comment>
<pub-date pub-type="ppub"><day>15</day><month>6</month><year>2007</year></pub-date><pub-date pub-type="epub"><day>16</day><month>2</month><year>2007</year></pub-date><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></date></history><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></permissions><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></article-meta></front></pmc><affiliations><list><country><li>Arabie saoudite</li><li>Égypte</li></country></list><tree><country name="Égypte"><noRegion><name sortKey="Ahmed, E" sort="Ahmed, E" uniqKey="Ahmed E" first="E." last="Ahmed">E. Ahmed</name></noRegion><name sortKey="Elgazzar, A S" sort="Elgazzar, A S" uniqKey="Elgazzar A" first="A. S." last="Elgazzar">A. S. Elgazzar</name></country><country name="Arabie saoudite"><noRegion><name sortKey="Elgazzar, A S" sort="Elgazzar, A S" uniqKey="Elgazzar A" first="A. S." last="Elgazzar">A. S. Elgazzar</name></noRegion></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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