NOVEL APPROACH TO SIRC MODELS WITH BACKWARD/HOPF BIFURCATION

Here, we reconstruct an ODE system known as SIRC model for simulating patterns of pandemic by an infectious disease. We also see that an backward bifurcation causes a local singularity emerged from the free singularity of the disease. Furthermore, in the case of infected immigration, the free singularity may pass through a Hopf bifurcation.