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Epidemic Model - Coggle Diagram
Epidemic Model
Parameters
(contacts/time) x probability of infection per contact with an infected
β
Viral spread
rate at which susceptible individuals are vaccinated
ε
Vaccines Impact
vaccine efficacy
σ
Wich vaccine?
average length of infection (duration of infectiousness)
1/α
Consequences on the model of long and short time?
death rate
μ
average time to lose immunity acquired by infection
1/δ
Consequences on the model of long and short time?
Permanent immunity
Willingness to get vaccinated
λ
What is the impact on the eradication time
S.V.I.R. Model
S
Susceptible
Variation
dS/dt = δ.R - β.S.I - ε.(λ.N-V) - μ.S
V
Vaccinated
Variation
dV/dt = ε.(λ.N-V) - (1 - σ).β.V.I
I
Infected
Variation
dI/dt = β.S.I + (1 - σ).β.V.I - α.I
R
Recovered
Variation
dR/dt = α.I - δ.R