Is this good for hobbyists & makers?

Yes — this version of "Vaccine Strategy for a lung gas exchange" is framed for hobbyists & makers exploring it for fun. Play with real physics and math, no license and no setup — just open and tinker.

Do I need to install anything?

No. It runs in any modern browser, free, with no account required.

For Hobbyists & Makers · Vaccine Strategy

Vaccine Strategy for a lung gas exchange

Built for hobbyists & makers exploring it for fun. Play with real physics and math, no license and no setup — just open and tinker. Simulate a lung gas exchange live below — adjust the inputs and watch it respond, right in your browser.

SIR Model

open full solver →

SIR Epidemic ModelLive

compartmental disease dynamics

Controls

Presets

Basic reproduction R₀

Infectious period (days)

Initial immune (vaccinated)

The SIR model splits a population into Susceptible, Infected, and Recovered and lets them flow between compartments. R₀ — the average number infected by one case — sets whether an outbreak grows. Vaccinating above the herd-immunity threshold 1−1/R₀ prevents an epidemic outright.

▶ Run in Python

Data Inspector

Peak infected0.0%

Total infected0.0%

Herd immunity60%

Governing equation

\frac{d S}{d t} = - β S I, \frac{d I}{d t} = β S I - γ I, \frac{d R}{d t} = γ I; β = 0.357, γ = 0.143, R_{0} = \frac{β}{γ} = 2.50

Reading this result: R₀ = 2.50 > 1 with only 0% immune, so infections grow into an epidemic. You would need to immunize 60% (the herd-immunity threshold 1−1/R₀) to stop it; the current effective reproduction number is 2.50.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

↓

Epidemic Network

open full solver →

Epidemic on a NetworkLive

agent-based SIR on a contact graph

Controls

Speed1×

Infection spreads along the contact network (red = infected, blue = susceptible, green = recovered). Tune transmission, recovery, and connectivity.

Presets

Transmission β

Recovery γ

Contact radius

▶ Run in Python

Data Inspector

Susceptible0

Infected0

Recovered0

Edges0

Governing equation

R_{0} = \frac{β ⟨ k ⟩}{γ} = \frac{0.06 \times 0.0}{0.01} \approx 0.0

Reading this result: Spread outpaces recovery by 6.0-to-1 — an epidemic grows, but whether it reaches everyone hinges on the contact radius wiring nodes together.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

or unlock everything with Pro →

Also for:Students Researchers Educators Engineers K-12 Students First Responders General version →

More with Vaccine Strategy

Vaccine Strategy for a bacterial growth Vaccine Strategy for a predator-prey cycle Vaccine Strategy for a neuron firing Vaccine Strategy for a heartbeat Vaccine Strategy for a virus spread Vaccine Strategy for a gene expression Vaccine Strategy for a protein fold Vaccine Strategy for a muscle contraction

Frequently asked questions

Is this good for hobbyists & makers?: Yes — this version of "Vaccine Strategy for a lung gas exchange" is framed for hobbyists & makers exploring it for fun. Play with real physics and math, no license and no setup — just open and tinker.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.