Epidemic Modeling Dashboard — SIR, SEIR, SIRD, SIRV

Disease Model

Differential Equations

Basic Reproduction Number (R₀)

3.00

Rapid spread

Herd-immunity threshold 67%

Quick Scenarios

Illustrative textbook parameters for teaching — not fitted estimates.

Population

Population (N) 1.00M

Initial infected (I₀) 10

Disease Parameters

Transmission rate (β) 0.300

Recovery rate (γ) 0.100

Intervention

Apply a lockdown

Simulation

Duration (days) 180

Playback speed 30

Ready

Epidemic Curve

Day 180 / 180

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Peak prevalence

—

Peak day

—

Attack rate

—

Deaths

—

Peak beds (assumes 5%)

—

Day S < 50%

Disease Model

Differential Equations

Quick Scenarios

Population

Disease Parameters

Intervention

Simulation

Epidemic Curve

Effective Reproduction Number (R_e)

Phase Portrait (S vs I)

Model Comparison — infectious curve under all four models

Configuration

Disease Model

Differential Equations

Quick Scenarios

Population

Disease Parameters

Intervention

Simulation

Simulation output

Epidemic Curve

Effective Reproduction Number (Re)

Phase Portrait (S vs I)

Model Comparison — infectious curve under all four models

Effective Reproduction Number (R_e)