Abstract:
Rabies is a fatal disease in dogs as well as in humans. A possible model to represent
rabies transmission dynamics in human and dog populations is presented. The next
generation matrix operator is used to determine the threshold parameter R0, that is the
average number of new infective individuals produced by one infective individual intro-
duced into a completely susceptible population. If R0 < 1, the disease-free equilibrium
is globally asymptotically stable, while it is unstable and there exists a locally asymptot-
ically stable endemic equilibrium when R0 > 1. A nonstandard nite di erence scheme
that replicates the dynamics of the continuous model is proposed. Numerical tests to
support the theoretical analysis are provided.
