Table 3. The cumulative number of infected population according to different scenarios corresponding different values for time intervals Δ k.
The starting values of parameters ( α, β and , k = 1, 2, 3) are in Table 2 (World). The first time interval (Δ 1) is 12/Nov/2014–31/Dec/2014, followed by each next month and the last interval (Δ 5) starts from 1/Apr/2015. The last column presents the date for the end of Ebola epidemic (see also Figure 3) with corresponding number of cumulative infected population C max (-/∞ means no stabilization). The version = 4 for all k means the current trend remains unchanged. The reproduction number for τ 2 = 3 is R = 0.778; it is less than 1 which leads to stabilization. For corresponding reproduction numbers for τ 2 = 4 and 5 see Table 2 (World).
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End/ C max | |||||
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4 | 4 | 4 | 4 | 4 | -/∞ | |||||
4 | 3 | 3 | 3 | 3 | Apr-2015/31,000 | |||||
4 | 4 | 3 | 3 | 3 | Apr-2015/39,000 | |||||
4 | 4 | 4 | 3 | 3 | May-2015/47,000 | |||||
4 | 4 | 4 | 4 | 3 | May-2015/57,000 | |||||
4 | 5 | 4 | 3 | 3 | Jun-2015/69,000 | |||||
4 | 5 | 4 | 4 | 3 | Jun-2015/90,000 | |||||
4 | 5 | 5 | 4 | 3 | Jun-2015/135,000 | |||||
5 | 4 | 4 | 3 | 3 | Jun-2015/102,000 | |||||
5 | 5 | 4 | 3 | 3 | Jul-2015/120,000 | |||||
5 | 5 | 4 | 4 | 3 | Jul-2015/166,000 |