Figure 1
Compartment diagram of the SI model, where S and I are the numbers of susceptible and infected individuals, respectively, and β (in units of 1/day) is the effective contact rate of the disease.
Figure 2
Time evolution of S (blue line) and I (red line) for N = 1000, S(0) = 995, I(0) = 5, and β = 0.1.
Figure 3
Compartment diagram of the SIS model, where S and I are the numbers of susceptible and infected individuals, respectively, β (in units of 1/day) is the infectious rate, and δ (in units of 1/day) is the rate in which the infected individuals recover to the susceptible state.
Figure 4
Time evolution of S (blue line) and I (red line) for N=1000, S(0) = 995, I(0) = 5, β = 0.1, and δ = 0.01.
Figure 5
Compartment diagram of the SIR model, where S, I, and R are the numbers of susceptible, infected, and recovered individuals, respectively, β (in units of 1/day) is the infectious rate, and γ (in units of 1/day) is the rate in which the infected individuals recover.
Figure 6
Time evolution of S (blue line), I (red line), and R (green line) for N=1000, S(0) = 995, I(0) = 5, β = 0.2, and γ = 0.05.
Figure 7
Time evolution of S (blue line), I (red line), and R (green line) for N=83132, S(0) = 83127, I(0) = 5, β = 0.35, and γ = 0.035.
Figure 8
Compartment diagram of the SIRS model, where S, I, and R are the numbers of susceptible, infected, and recovered individuals, respectively, β (in units of 1/day) is the infectious rate, γ (in units of 1/day) is the rate in which the infected individuals recover, δ (in units of 1/day) is the rate in which the recovered individuals return to the susceptible class.
Figure 9
Time evolution of S (blue line), I (red line), and R (green line) for N=1000, S(0) = 995, I(0) = 5, β = 0.4, γ = 0.2, and δ = 0.005. The inset figure corresponds to the magnification of the infected individuals.
Figure 10
Compartment diagram of the SEIR model, where S, E, I, and R are the numbers of susceptible, exposed, infected, and removed individuals, respectively, β (in units of 1/day) is the infectious rate, ω (in units of 1/day) is the coefficient of migration rate, and γ (in units of 1/day) is the rate in which the infected individuals recover.
Figure 11
Time evolution of S (blue line), E (black line), I (red line), and R (green line) for N=1000, S(0) = 995, I(0) = 5, β = 0.5, ω = 0.1, and γ = 0.1.
Figure 12
(a) Time evolution of I for ω = 0.2, γ = 0.25, r = 0 (red line), r = 0.2 (red dashed line), and r = 0.4 (red dotted line). (b) Time evolution of I for r = 0 (t < 14), r = 0.6 (14≤t < 365), and r = 0.2 (t ≥ 365).
Figure 13
Compartment diagram of the SEIRS model, where S, E, I, and R are the numbers of susceptible, exposed, infected, and removed individuals, respectively, β (in units of 1/day) is the infectious rate, ω (in units of 1/day) is the coefficient of migration rate, γ (in units of 1/day) is the rate in which the infected individuals recover, and δ (in units of 1/day) is the rate in which the recovered individuals return to the susceptible class.
Figure 14
Time evolution of S (blue line), E (black line), I (red line), and R (green line) for N=1000, S(0) = 995, I(0) = 5, β = 0.5, ω = 0.1, γ = 0.1, and δ = 0.03.