On Fractional SIRC Model with Salmonella Bacterial Infection
We propose a fractional order SIRC epidemic model to describe the dynamics of Salmonella bacterial infection in animal herds. The infection-free and endemic steady sates, of such model, are asymptotically stable under some conditions. The basic reproduction number ℛ0 is calculated, using next-genera...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/136263 |
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| _version_ | 1832548227463774208 |
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| author | Fathalla A. Rihan Dumitru Baleanu S. Lakshmanan R. Rakkiyappan |
| author_facet | Fathalla A. Rihan Dumitru Baleanu S. Lakshmanan R. Rakkiyappan |
| author_sort | Fathalla A. Rihan |
| collection | DOAJ |
| description | We propose a fractional order SIRC epidemic model to describe the dynamics of Salmonella bacterial infection in animal herds. The infection-free and endemic steady sates, of such model, are asymptotically stable under some conditions. The basic reproduction number ℛ0 is calculated, using next-generation matrix method, in terms of contact rate, recovery rate, and other parameters in the model. The numerical simulations of the fractional order SIRC model are performed by Caputo’s derivative and using unconditionally stable implicit scheme. The obtained results give insight to the modelers and infectious disease specialists. |
| format | Article |
| id | doaj-art-d99e943dee3d4be1b738fa9e7131a3f8 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-d99e943dee3d4be1b738fa9e7131a3f82025-02-03T06:41:57ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/136263136263On Fractional SIRC Model with Salmonella Bacterial InfectionFathalla A. Rihan0Dumitru Baleanu1S. Lakshmanan2R. Rakkiyappan3Department of Mathematical Sciences, College of Science, UAE University, P.O. Box 15551, Al Ain, UAEDepartment of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah 80204, Saudi ArabiaDepartment of Mathematical Sciences, College of Science, UAE University, P.O. Box 15551, Al Ain, UAEDepartment of Mathematics, Bharathiar University, Coimbatore, Tamil Nadu 641046, IndiaWe propose a fractional order SIRC epidemic model to describe the dynamics of Salmonella bacterial infection in animal herds. The infection-free and endemic steady sates, of such model, are asymptotically stable under some conditions. The basic reproduction number ℛ0 is calculated, using next-generation matrix method, in terms of contact rate, recovery rate, and other parameters in the model. The numerical simulations of the fractional order SIRC model are performed by Caputo’s derivative and using unconditionally stable implicit scheme. The obtained results give insight to the modelers and infectious disease specialists.http://dx.doi.org/10.1155/2014/136263 |
| spellingShingle | Fathalla A. Rihan Dumitru Baleanu S. Lakshmanan R. Rakkiyappan On Fractional SIRC Model with Salmonella Bacterial Infection Abstract and Applied Analysis |
| title | On Fractional SIRC Model with Salmonella Bacterial Infection |
| title_full | On Fractional SIRC Model with Salmonella Bacterial Infection |
| title_fullStr | On Fractional SIRC Model with Salmonella Bacterial Infection |
| title_full_unstemmed | On Fractional SIRC Model with Salmonella Bacterial Infection |
| title_short | On Fractional SIRC Model with Salmonella Bacterial Infection |
| title_sort | on fractional sirc model with salmonella bacterial infection |
| url | http://dx.doi.org/10.1155/2014/136263 |
| work_keys_str_mv | AT fathallaarihan onfractionalsircmodelwithsalmonellabacterialinfection AT dumitrubaleanu onfractionalsircmodelwithsalmonellabacterialinfection AT slakshmanan onfractionalsircmodelwithsalmonellabacterialinfection AT rrakkiyappan onfractionalsircmodelwithsalmonellabacterialinfection |