On fractional SIRC model with \textit{Salmonella} bacterial infection
type: Item
instance of: scholarly article
title: On fractional SIRC model with \textit{Salmonella} bacterial infection
zbMATH Open document ID: 1406.92615
DOI: 10.1155/2014/136263
author: F. A. Rihan
author: D. Baleanu
author: S. Lakshmanan
author: R. Rakkiyappan
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We propose a fractional order SIRC epidemic model to describe the dynamics of \textit{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 \(\mathcal{R}_0\) 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.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34A08
zbMATH DE Number: 7021781
zbMATH Keywords: fractional SIRC model
zbMATH Keywords: \textit{Salmonella} bacterial infection
zbMATH Keywords: animal herds
Wikidata QID: Q59035385
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/136263
OpenAlex ID: W2025308345
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description: scientific article; zbMATH DE number 7021781