Epidemic Modeling Dashboard

Scientific Compartmental Disease Modeling with Interactive Simulation

Disease Model
Differential Equations
dS/dt = -β·S·I/N
dI/dt = β·S·I/N - γ·I
dR/dt = γ·I
Basic Reproduction Number
2.50
Growing outbreak
Quick Scenarios
Population
Population (N) 100,000
Total population size
Initial Infected (I₀) 10
Starting infected individuals
Duration (days) 365
Simulation length
SIR Parameters
β (transmission) 0.50
Contact rate × probability
γ (recovery) 0.10
1/infectious period (days⁻¹)
Interventions
Herd Immunity Threshold
40%
Percentage of population that must be immune to stop spread
Simulation
Animation Speed 1.0x
Day 0 / 365 Ready
Epidemic Curve (Main)
Phase Portrait (I vs S)
Effective Reproduction Number (Rₑ)
Peak Infection
—
% of population
Peak Infection Date
—
day
Total Infected
—
% of population
Total Deaths
—
% of population
Hospital Peak
—
estimated
Duration (50% susceptible)
—
days