On Fractional SIRC Model with Salmonella Bacterial Infection
作者： Fathalla A. Rihan , Dumitru Baleanu , S. Lakshmanan , R. Rakkiyappan
DOI: 10.1155/2014/136263
关键词: Differential equation 、 Applied mathematics 、 Mathematics 、 Salmonella 、 Basic reproduction number 、 Recovery rate 、 Epidemic model 、 Stability theory
摘要: 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, such model, are asymptotically stable under some conditions. basic reproduction number is calculated, using next-generation matrix method, terms contact rate, recovery other parameters model. numerical simulations performed by Caputo’s derivative unconditionally implicit scheme. obtained results give insight modelers infectious disease specialists.
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