How do I simulate a mutation rate?

Open this page and use the live Lotka-Volterra tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.

Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.

Can I use my own numbers?

Absolutely — every input is adjustable, and with data import you can drive a mutation rate from your own measurements.

Use case · powered by Lotka-Volterra

Lotka-Volterra for a mutation rate

Simulate a mutation rate live in your browser. This runs the real Lotka-Volterra solver — adjust the inputs, watch it respond instantly, and export the result. No install, no account.

For:Students Researchers Educators Engineers Hobbyists & Makers K-12 Students First Responders

Lotka-Volterra Predator-PreyLive

coupled population cycles

Controls

Presets

Prey growth a

Predation rate b

Predator death c

Predator growth d

Two coupled equations produce the classic boom-and-bust cycle: prey multiply, predators feast and multiply, prey crash, predators starve, and the cycle repeats. The phase portrait shows the closed orbit — populations forever chasing each other, never settling.

▶ Run in Python

Data Inspector

Prey equilibrium20.0

Predator equilibrium10.0

Dynamicslimit cycle

Governing equation

\frac{d x}{d t} = 1 x - 0.1 x y, \frac{d y}{d t} = 0.075 x y - 1.5 y

Reading this result: These parameters trace a closed orbit: prey and predator populations cycle forever without settling, staying about a quarter-period out of phase — the predator peak lags the prey peak. The orbit encircles the fixed point at (prey 20.0, predator 10.0) = (c/d, a/b). Raising predation b (now 0.1) or predator death c (now 1.5) shifts and reshapes that orbit — a higher death rate c pushes the prey equilibrium up and tends to lengthen the boom-and-bust period, while stronger coupling widens the amplitude of each swing.

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

or unlock everything with Pro →

About this simulation

The full Lotka-Volterra tool models a mutation rate with the same numerics engineers and scientists use — running entirely client-side. Change any parameter and the result updates in real time, so you can build intuition, check a design, or teach the concept without spreadsheets or installs.

More you can do with Lotka-Volterra

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

Other ways to simulate a mutation rate

Dynamical Systems for a mutation rate Epidemic Network for a mutation rate Spatial Predator–Prey for a mutation rate SIR Epidemic for a mutation rate Hodgkin-Huxley Neuron for a mutation rate Hardy-Weinberg for a mutation rate

Frequently asked questions

How do I simulate a mutation rate?: Open this page and use the live Lotka-Volterra tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.
Is it free?: Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.
Can I use my own numbers?: Absolutely — every input is adjustable, and with data import you can drive a mutation rate from your own measurements.