A compartmental model based on these assumptions is customarily called a SIR or SIRS model.
This first model is without antigenic evolution, so is given by an SIR (not SIRS) model.
Cross-immunity alone within a two-strain SIR or SIRS model cannot generate sustained oscillation [ 12, 63– 65] unless other factors such as age-dependent survival [ 53, 57] or isolation [ 66] are included.
The other compartmental models were obtained by reduction of the described SIR-model (the fit to the SIRS model reduced to a SIS model).
This is called SIRS model [21].
In this paper, an SIRS model with diffusion is studied.
This latent period is not taken into account in a SIRS model.
The dynamical behaviors of the SIRS model are discussed in Section 2.
The same discussion was extended to a SIRS model by Liu [10].
We discuss a novel epidemic SIRS model with time delay on a scale-free network in this paper.
In this paper, we propose a new SIRS model with direct immunization and an infective vector on complex networks.
