Modeling and numerical investigation of a conformable co‐infection model for describing Hantavirus of the European moles
The aim of this work is to investigate theoretically and numerically a conformable‐order epidemiological model of the Susceptible‐Infected (SI) type. The qualitative properties of the solutions are studied. Besides, the dynamics of the problem is discussed in detail. The conformable version of the i...
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Veröffentlicht in: | Mathematical methods in the applied sciences 2022-03, Vol.45 (5), p.2736-2759 |
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creator | Allahamou, Abdelouahed Azroul, Elhoussine Hammouch, Zakia Alaoui, Abdelilah Lamrani |
description | The aim of this work is to investigate theoretically and numerically a conformable‐order epidemiological model of the Susceptible‐Infected (SI) type. The qualitative properties of the solutions are studied. Besides, the dynamics of the problem is discussed in detail. The conformable version of the implicit and explicit Adams multistep methods is proposed with the formulation of the truncation error. An inverse optimization problem using the least square method is introduced to estimate the model parameters. Moreover, to show the effectiveness of the conformable order in describing the studied phenomena and to calibrate the model, some created data of Nova and Bruges virus in Belgium were used. |
doi_str_mv | 10.1002/mma.7950 |
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The qualitative properties of the solutions are studied. Besides, the dynamics of the problem is discussed in detail. The conformable version of the implicit and explicit Adams multistep methods is proposed with the formulation of the truncation error. An inverse optimization problem using the least square method is introduced to estimate the model parameters. 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Moreover, to show the effectiveness of the conformable order in describing the studied phenomena and to calibrate the model, some created data of Nova and Bruges virus in Belgium were used.</description><subject>conformable derivative</subject><subject>conformable multisteps methods</subject><subject>Hantavirus</subject><subject>Mathematical models</subject><subject>Optimization</subject><subject>SI epidemic model</subject><subject>Truncation errors</subject><issn>0170-4214</issn><issn>1099-1476</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp1kE1OwzAQhS0EEqUgcQRLbNikjJ0fJ8uqKhSpFRtYR5NkUlwldrGborLiCJyRk5BQtqxmpPfNG73H2LWAiQCQd22LE5XFcMJGArIsEJFKTtkIhIIgkiI6ZxfebwAgFUKO2MfKVtRos-ZoKm66lpwuseHa7Mnv9Bp32hpua468tKa2rsWioX7__vzSpqbyV28HE96rvCJfOl0Mhgs0O9xr1_nhfvdKfN45uyUc-Ib8JTursfF09TfH7OV-_jxbBMunh8fZdBmUMgshiAFUghhnFIoqTWUmSAFGElRFNcaFKjCpqYihTJXsQ4WlQFQxpZlSaQFJOGY3R9-ts29dnyrf2M6Z_mUukzARKoki2VO3R6p01ntHdb51ukV3yAXkQ7N532w-NNujwRF91w0d_uXy1Wr6y_8AOLR8EQ</recordid><startdate>20220330</startdate><enddate>20220330</enddate><creator>Allahamou, Abdelouahed</creator><creator>Azroul, Elhoussine</creator><creator>Hammouch, Zakia</creator><creator>Alaoui, Abdelilah Lamrani</creator><general>Wiley Subscription Services, Inc</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><orcidid>https://orcid.org/0000-0001-7349-6922</orcidid></search><sort><creationdate>20220330</creationdate><title>Modeling and numerical investigation of a conformable co‐infection model for describing Hantavirus of the European moles</title><author>Allahamou, Abdelouahed ; Azroul, Elhoussine ; Hammouch, Zakia ; Alaoui, Abdelilah Lamrani</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c2930-50076aa59e31d88291e70a4207defa5b7ba6feb50c8728113c1aa75e89778b063</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>conformable derivative</topic><topic>conformable multisteps methods</topic><topic>Hantavirus</topic><topic>Mathematical models</topic><topic>Optimization</topic><topic>SI epidemic model</topic><topic>Truncation errors</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Allahamou, Abdelouahed</creatorcontrib><creatorcontrib>Azroul, Elhoussine</creatorcontrib><creatorcontrib>Hammouch, Zakia</creatorcontrib><creatorcontrib>Alaoui, Abdelilah Lamrani</creatorcontrib><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><jtitle>Mathematical methods in the applied sciences</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Allahamou, Abdelouahed</au><au>Azroul, Elhoussine</au><au>Hammouch, Zakia</au><au>Alaoui, Abdelilah Lamrani</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Modeling and numerical investigation of a conformable co‐infection model for describing Hantavirus of the European moles</atitle><jtitle>Mathematical methods in the applied sciences</jtitle><date>2022-03-30</date><risdate>2022</risdate><volume>45</volume><issue>5</issue><spage>2736</spage><epage>2759</epage><pages>2736-2759</pages><issn>0170-4214</issn><eissn>1099-1476</eissn><abstract>The aim of this work is to investigate theoretically and numerically a conformable‐order epidemiological model of the Susceptible‐Infected (SI) type. 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subjects | conformable derivative conformable multisteps methods Hantavirus Mathematical models Optimization SI epidemic model Truncation errors |
title | Modeling and numerical investigation of a conformable co‐infection model for describing Hantavirus of the European moles |
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