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An epidemiological MSEIR model described by the Caputo fractional derivative

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A fractional MSEIR model is presented, involving the Caputo fractional derivative. The equilibrium points and the basic reproduction number are computed. An analysis of the local asymptotic stability at the… Click to show full abstract

A fractional MSEIR model is presented, involving the Caputo fractional derivative. The equilibrium points and the basic reproduction number are computed. An analysis of the local asymptotic stability at the disease free equilibrium is given. Finally a numerical simulation, using Matlab based on optimization techniques, of the varicella outbreak among Shenzhen school children, China, is carried out.

Keywords: fractional derivative; mseir model; caputo fractional; epidemiological mseir

Journal Title: International Journal of Dynamics and Control
Year Published: 2018

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