Hamiltonian Analysis of Subcritical Stochastic Epidemic Dynamics

Figure 1

Phase plane of the Hamiltonian dynamical system (11), for a supercritical SIS model . Arrows depict the flow of the dynamics of and . The three invariant curves of the dynamics (solution curves of ) are shown in gray: the two axes of the space and one nontrivial curve. The nontrivial curve corresponds to the quasistationary solution of the stochastic SIS model, as discussed in the text.