Age-Structured Epidemic
Leslie matrix demographics + SIR compartmental dynamics by age group
Disease Parameters
β (base transmission):
0.4
γ (recovery rate):
0.1
Age mixing:
0.5
Seed age group
Seed young adults (20-40)
Seed middle-aged (50-60)
Seed elderly (70+)
↺ Reset
Pause
Leslie Matrix
n(t+1) = L · n(t)
L = [ f₁ f₂ ... fₙ ]
[ s₁ 0 ... 0 ]
[ 0 s₂ ... 0 ]
[ 0 0 ... sₙ₋₁]
fᵢ = age-specific fertility
sᵢ = survival probability
λ₁ = dominant eigenvalue
= asymptotic growth rate
Initializing...