prezentacja programu powerpointagatka/mzk/wyklad 10.pdf · hong kong viet nam uk usa barbados ntina...
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• 𝑆𝜆 𝐼
𝜇 𝑆
• 𝑆𝜆 𝐼
𝜇 𝑅
• 𝑆𝜆 𝐸
𝛽 𝐼
𝜇 𝑅
• 𝑆𝜆 𝐸
𝛽 𝐼
𝜇 𝑅
𝝃 𝑆
• 𝑆𝜆 𝐼
𝑑𝑆
𝑑𝑡= −𝜆𝑆
𝐼
𝑁
𝑑𝐼
𝑑𝑡= 𝜆𝑆
𝐼
𝑁− 𝜇𝐼
𝑑𝑅
𝑑𝑡= 𝜇𝐼
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𝑑𝑆
𝑑𝑡= −𝜆𝑆
𝐼
𝑁+ 𝐷𝑠Δ𝑆
𝑑𝐼
𝑑𝑡= 𝜆𝑆
𝐼
𝑁− 𝜇𝐼 + 𝐷𝐼Δ𝐼
𝑑𝑅
𝑑𝑡= 𝜇𝐼
𝜅 =𝜆
𝜇> 𝜅𝑐
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𝜅𝑐 =𝑘
𝑘2
𝑘2 ∞ κ𝑐 0.
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𝑑𝑆𝑖𝑑𝑡= −𝜆𝑆𝑖
𝐼𝑖𝑁𝑖+ Ω𝑆𝑖
𝑑𝐼𝑖𝑑𝑡= 𝜆𝑆𝑖
𝐼𝑖𝑁− 𝜇𝐼𝑖 + Ω
𝐼𝑖
𝑑𝑅𝑖𝑑𝑡= 𝜇𝐼𝑖
Ω𝑋𝑖 = 𝑑𝑗𝑖𝑋𝑖 − 𝑑𝑖𝑗𝑋𝑗𝑗 , 𝑋 ≡ 𝑆 ∨ 𝐼
𝑑𝑖𝑗 =𝜔𝑖𝑗
𝑁𝑖
𝜔𝑖𝑗
𝑑𝑖𝑗
𝑑𝑗𝑖
𝑖
𝑗
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β
ε
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𝑑𝑚𝑛 = 1 − ln𝑃𝑚𝑛 ≥ 1
𝑃𝑚𝑛
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