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On fractional SIRC model with Salmonella bacterial infection

Rihan, Fathalla A., Baleanu, Dumitru, Lakshmanan, S. and Rakkiyappan, R. 2014, On fractional SIRC model with Salmonella bacterial infection, Abstract and applied analysis, vol. 2014, doi: 10.1155/2014/136263.

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Title On fractional SIRC model with Salmonella bacterial infection
Formatted title On fractional SIRC model with Salmonella bacterial infection
Author(s) Rihan, Fathalla A.
Baleanu, Dumitru
Lakshmanan, S.ORCID iD for Lakshmanan, S. orcid.org/0000-0002-4622-3782
Rakkiyappan, R.
Journal name Abstract and applied analysis
Volume number 2014
Article ID 136263
Total pages 9
Publisher Hindawi Publishing
Place of publication Cairo, Egypt
Publication date 2014-04
ISSN 1085-3375
1687-0409
Keyword(s) Science & Technology
Physical Sciences
Mathematics, Applied
Mathematics
DIFFERENTIAL-EQUATIONS
MATHEMATICAL-MODEL
ORDER
DYNAMICS
CHAOS
Summary 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 0 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.
Language eng
DOI 10.1155/2014/136263
Field of Research 0101 Pure Mathematics
Copyright notice ©2014, Fathalla A. Rihan et al.
Free to Read? Yes
Use Rights Creative Commons Attribution licence
Persistent URL http://hdl.handle.net/10536/DRO/DU:30077160

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Every reasonable effort has been made to ensure that permission has been obtained for items included in DRO. If you believe that your rights have been infringed by this repository, please contact drosupport@deakin.edu.au.