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math.OC2020★ 1 cited
Input-to-state stability and Lyapunov functions with explicit domains for SIR model of infectious diseases
Hiroshi Ito
This paper demonstrates input-to-state stability (ISS) of the SIR model of infectious diseases with respect to the disease-free equilibrium and the endemic equilibrium. Lyapunov fu…
math.OC2020★ 1 cited
Interpreting models of infectious diseases in terms of integral input-to-state stability
Hiroshi Ito
The notions of integral input-to-state stability (iISS) and input-to-state stability (ISS) have been effective in addressing nonlinearities globally without domain restrictions in…