Fig 1.
Compartment diagram with transitions for the SIR with vaccination model.
The arrows show the transitions between the compartments, as well as the exits due to natural death. The transition rates are shown next to the arrows.
Fig 2.
Compartment diagram for the emerging disease model.
The transitions between compartments, together with the corresponding rates, are described by the arrows directed in and out of each compartment.
Fig 3.
Surveillance data of the compartments for the disease free equilibrium.
The reproduction number of the original strain is R0 = 0.8, while the reproduction number of the emergent strain is . The vaccination rate used is 0.5.
Fig 4.
Surveillance data of the compartments for Disease 1 equilibrium.
The reproduction number of the original strain is R0 = 3.33, while the reproduction number of the emergent strain is . The vaccination rate used is 0.5.
Fig 5.
The reproduction number of the original strain is R0 = 0.8, while the reproduction number of the emergent strain is .
This scenario corresponds to the emergence of the new strain under DFE conditions. The vaccination rate used is 0.5.
Fig 6.
Surveillance data of the compartments for the new strain equilibrium where the system is originally in endemic equilibrium with Disease 1.
The reproduction number of the original strain is R0 = 3, while the reproduction number of the emergent strain is . The vaccination rate used is 0.5.
Fig 7.
Surveillance data of the compartments for the endemic equilibrium.
The reproduction number of the original strain is R0 = 3.33, while the reproduction number of the emergent strain is . The vaccination rate used is 0.5.
Fig 8.
A map of the equilibrium states for different values of the reproduction numbers for the original and emergent strain.
For this plot, the transmission rate coefficients used were β = 2, β′ = 2 and vaccination rate p = 0.5.