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We construct a nonstandard finite difference (NSFD) scheme for an SIRSmathematical model of respiratory virus transmission. This discretization is infull compliance with the NSFD methodology as formulated by R. E. Mickens. Byuse of an exact conservation law satisfied by the SIRS differential equations,we are able to determine the corresponding denominator function for thediscrete first-order time derivatives. Our scheme is dynamically consistentwith the SIRS differential equations since the conservation laws are preserved.Further, the scheme is shown to satisfy a positivity condition for itssolutions for all values of the time step-size.

A Note on an NSFD Scheme for a Mathematical Model of Respiratory Virus Transmission