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Update 2024-12-21-System dynamics.md
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choisunmi00 committed Dec 26, 2024
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Expand Up @@ -30,8 +30,9 @@ math: true
#### 지수적 모형: 이상적 모델
- $$$$
$$\frac{dN}{dt} = kN \Rightarrow N(t) = N_0 e^{kt}$$
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Expand All @@ -40,8 +41,9 @@ math: true
$$\frac{dN}{dt}$$
$$= (B - D)N = (B_0 - D_0 N)N$$
$$= B_0 \left( 1 - \frac{D_0 N}{B_0} \right) N = r \left( 1 - \frac{N}{C} \right) N\ \Rightarrow N(t) = \frac{C N_0}{N_0 + (C - N_0)e^{-rt}}$$
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- 한계
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