Constructions of Lyapunov Functions for Classic SIS, SIR and SIRS Epidemic models with Variable Population Size
نویسنده
چکیده
In this work we deal with global stability properties of classic SIS, SIR and SIRS epidemic models with constant recruitment rate, mass action incidence and variable population size. The usual approach to determine global stability of equilibria is the direct Lyapunov method which requires the construction of a function with specific properties. In this work we construct different Lyapunov functions for the systems mentioned above using combinations of suitable composite quadratic, simple quadratic and logarithmic functions. And present some examples of the non-uniqueness of Lyapunov functions in epidemic models.
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