Uncertainty in public health models treated by differential inclusions

An application of differential inclusions in the epidemic spread models is presented.Some mostly used epidemic models are discussed here,and a brief survey of epidemic modeling is given.Most of the models are some modifications of the Susceptible–Infected–Recovered model.Simple simulations are carried out.Then,we consider the influence of some uncertain parameters.It is pointed out that the presence of some fluctuating model parameters can be treated by differential inclusions.The solution to such differential inclusion is given in the form of reachable sets for model variables.Here,we focus on the differential inclusion application rather than the model construction.