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Instantaneous logistic growth · formula reference

This deterministic model assumes constant r and carrying capacity K; it is not a guaranteed population forecast.

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Formula

This deterministic model assumes constant r and carrying capacity K; it is not a guaranteed population forecast.

dN/dt = rN(1−N/K)

Worked example

In dN/dt=rN(1−N/K), use r=0.21 per year, N=223, K=320. Find the instantaneous growth rate. Round the final result to 4 decimal places if needed. Answer in individuals/year.

Substitute the current population, not K, into rN and multiply by (1−N/K).

14.1953 individuals/year

Prerequisites and checking

Algebra and the topic definitions. Keep units and rounding consistent. State the model conditions before applying the formula.

Further reading and review references

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