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Stability analysis of an SIRS model with time-delay on scale-free network. (Chinese. English summary) Zbl 1349.34354

Summary: We consider an SIRS epidemic model with time-delay on an uncor-related scale-free network, and investigate the dynamical behavior of the model. When the basic reproduction number is less than unity, by a Lyapunov function the global asymptotic stability of the disease-free equilibrium is established. On the other hand, there is a unique endemic equilibrium when the basic reproduction number is greater than one and the disease is permanent.

MSC:

34K60 Qualitative investigation and simulation of models involving functional-differential equations
92D30 Epidemiology
34K20 Stability theory of functional-differential equations
34K25 Asymptotic theory of functional-differential equations
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