Spatial propagation phenomena for a diffusive epidemic model with vaccination.

This paper is concerned with the propagation phenomena for a basic spatial vaccination model posed on unbounded domain. The main features of the current three-dimensional model system are the lack of comparison principle and the unboundedness of bilinear incidence (mass action incidence), which brings about some difficulties in analyzing the long term behavior of the corresponding solutions. The asymptotic speed of spread is first established by weak dissipativity of system and uniform persistence idea on dynamical system. The full information on the traveling wave solutions is then investigated, which further indicates the coincidence with the asymptotic speed of spread. [ABSTRACT FROM AUTHOR]