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The fractional SIRC model and influenza A. (English) Zbl 1235.92033
Summary: This paper deals with the fractional-order SIRC model associated with the evolution of influenza A disease in human populations. The qualitative dynamics of the model is determined by the basic reproduction number, \(R_0\). We give a detailed analysis for the asymptotic stability of disease-free and positive fixed points. Nonstandard finite difference methods are used to solve and simulate the system of differential equations.

92C60 Medical epidemiology
37N25 Dynamical systems in biology
35Q92 PDEs in connection with biology, chemistry and other natural sciences
65C20 Probabilistic models, generic numerical methods in probability and statistics
Full Text: DOI
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