Logistic Growth
This interactive simulator explores Logistic Growth in Math Visualization. dN/dt = rN(1−N/K); exact S-curve vs carrying capacity K. Use the controls to change the scenario; watch the visualization and any graphs or readouts to connect the model with lectures, labs, and homework.
Who it's for: Suited to beginners and first exposure to the topic. Typical context: Math Visualization.
Key terms
- logistic
- growth
- logistic growth
- math
- visualization
How it works
**Logistic** model **dN/dt = rN(1 − N/K)**: early **exponential-like** rise, then **saturation** at **K**. Used in ecology and as a cartoon for limited resources; the plot uses the **exact** solution, not Euler stepping.
Key equations
More from Math Visualization
Other simulators in this category — or see all 26.
2×2 Matrix & Eigenvectors
Grid deformation under M; real λ eigen-direction arrows.
Savitzky–Golay Smoothing
Noisy cosine vs SG(7,2) convolution — preserves peaks better than a wide boxcar.
Markov Chain (Weather)
Sun/Rain two-state chain: P matrix, stationary π, empirical vs theory.
Gradient Descent (2D)
Level sets of f(x,y) and path (x,y) ← (x,y) − η∇f; bowl or elliptic well.
Minkowski Diagram
Light cone and boosted axes in 1+1D; γ from v.
Twin Paradox
Out-and-back worldlines; proper time τ = T/γ vs Earth time T.