Class 12 Botany simulations · Organisms and Populations

Exponential and logistic growth

Grow a population with unlimited resources (exponential, J-shaped) or limited resources (logistic, S-shaped).

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What to notice

With limited resources growth slows and levels off at the carrying capacity K.

Key relation

dN/dt = rN ; logistic: dN/dt = rN(K − N)/K

Try this

Use the flour beetle’s r = 0.12 and compare with the Norway rat’s r = 0.015.

What you can change

• Model: choose Exponential (J-shaped), Logistic (S-shaped)
• Intrinsic rate r: 0.01 to 0.5 per day
• Carrying capacity K: 100 to 1000
• Time: 0 to 100 days

More in Organisms and Populations

• Age pyramids
• Population interactions
• Predator–prey cycles

See all Class 12 Botany simulations or every Physica simulation.