Table 1.
State transitions in generalized stochastic SI and SIS models.
Table 2.
State transitions in generalized stochastic SIR and SIRS models.
Table 3.
Expectations and standard deviations of the equilibrium numbers of susceptibles, infectives and the population size for parameter setting a1 = 50, β0 = 30, λ0 = 5, λ1 = 5, γ1 = 5, μ0 = 4, μ1 = 15 with immigration rates of susceptibles a0 = 10, 100, 200, 500.
Table 4.
Expectations and standard deviations of the equilibrium numbers of susceptibles, infectives and the population size for parameter setting parameter setting a0 = 100, β0 = 30, λ0 = 5, λ1 = 5, γ1 = 5, μ0 = 4, μ1 = 15 with immigration rates of infectives a1 = 10, 50, 100, 200.
Fig 1.
Equilibrium distributions of the total population size and the ratio of the number of infectives to the total population size for parameter setting a1 = 50, β0 = 30, λ0 = 5, λ1 = 5, γ1 = 5, μ0 = 4, μ1 = 15 with immigration rates of susceptibles a0 = 10, 100, 200, 500 (top to bottom).
Fig 2.
Equilibrium distributions of the total population size and the ratio of the number of infectives to the total population size for parameter setting a0 = 100, β0 = 30, λ0 = 5, λ1 = 5, γ1 = 5, μ0 = 4, μ1 = 15 with immigration rates of infectives a1 = 10, 50, 100, 200 (top to bottom).
Table 5.
Expectations and standard deviations of the equilibrium numbers of all epidemiological classes and the population size for parameter setting a0 = 100, a1 = 50, a2 = 0, β0 = 30, λ0 = λ1 = λ2 = 5, μ0 = μ2 = 6, μ1 = 15, γ1 = 5 with immunity loss rates γ2 = 0, 5, 10, 30.
Fig 3.
Equilibrium distributions of the total population size and the ratio of the number of infectives to the total population size for parameter setting a0 = 100, a1 = 50, a2 = 0, β0 = 30, λ0 = λ1 = λ2 = 5, μ0 = μ2 = 6, μ1 = 15, γ1 = 5 with immunity loss rates γ2 = 0, 5, 10, 30 (top to bottom).
Fig 4.
Equilibrium distributions of the number of susceptibles and the number of removals for parameter setting a0 = 100, a1 = 50, a2 = 0, β0 = 30, λ0 = λ1 = λ2 = 5, μ0 = μ2 = 6, μ1 = 15, γ1 = 5 with immunity loss rates γ2 = 0, 5, 10, 30 (top to bottom).