IB skill practice

Model logistic differential equations

Use \(dP/dt=kP(1-P/L)\) to calculate a population growth rate.

Paper 1, Paper 2 5 marks Difficulty 4

Model logistic differential equations - method selection

An agriculture project population satisfies \(\frac{dP}{dt}=kP(1-P/L)\), with \(k=0.22\), \(P=61\), and \(L=135\). Find the growth rate. Enter the requested value and choose the interpretation that matches the result.

Worked practice: result and interpretation

Calculate the requested result first, then choose the interpretation that follows from it.