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Bifurcation and spectral entropy complexity of a fractional-order SVIRS epidemic system
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DOI：10.2306/scienceasia1513-1874.2026.020.png)
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Abstract
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This article deals with bifurcation dynamics and complexity of a nonlinear fractional-order SVIRS epidemic system. Based on the analysis of the disease-free and endemic equilibriums, the forward (supercritical) and backward (subcritical) bifurcations are observed around the basic reproduction number. The complexity of the fractional epidemic system is estimated by spectral entropy and numerical simulations, and the relation of the order of the fractional derivative with dynamics of the system is investigated and illustrated by the complexity. The spectral entropy complexity can be regarded as an index to connect oscillatory bifurcations with the order of the fractional derivative for the fractional-order epidemic system.
Keywords:
time-fractional epidemic system
dynamics
bifurcation
spectral entropy
numerical simulation
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0.6
Papers:
75
Citations:
969
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