Stability and bifurcation analysis of a class of SEIR delayed fractional order infectious disease models
A class of SEIR delayed fractional order infectious disease model was established,and the system was subjected to fractional Laplace transform.The characteristic matrix and equation of the model were calculated,and the basic regeneration number of the model was calculated using the regeneration matrix method.The stability of the system at disease-free equilibrium point P0 and endemic equilibrium point P1 was proved.In addition,with time delay as a parameter,sufficient conditions for the system to bifurcate were given using Hopf bifurcation theory.
fractional order of time delayinfectious disease modelsequilibriumstabilityHopf bifurcation
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