Institution

Missouri University of Science and Technology

Abstract

In this talk, we formulate SIR (susceptible-infected-recovered) and SIS (susceptible- infected-susceptible) epidemic models with time-dependent coefficients on time scales to unify and extend continuous and discrete models. We derive exact solutions to these models by the approach of the Bernoulli dynamic equation and discuss the asymptotic behavior of susceptibles and infectives. Examples on different time scales are presented to illustrate the results.

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SIS and SIR Epidemic Models on Time Scales

In this talk, we formulate SIR (susceptible-infected-recovered) and SIS (susceptible- infected-susceptible) epidemic models with time-dependent coefficients on time scales to unify and extend continuous and discrete models. We derive exact solutions to these models by the approach of the Bernoulli dynamic equation and discuss the asymptotic behavior of susceptibles and infectives. Examples on different time scales are presented to illustrate the results.