Biology · University
Instantaneous logistic growth
This deterministic model assumes constant r and carrying capacity K; it is not a guaranteed population forecast.
Method and conditions
This deterministic model assumes constant r and carrying capacity K; it is not a guaranteed population forecast.
dN/dt = rN(1−N/K)
Worked examples
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
In dN/dt=rN(1−N/K), use r=0.23 per year, N=65, K=420. 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).
12.6363 individuals/year
Try it
In dN/dt=rN(1−N/K), use r=0.29 per year, N=166, K=570. Find the instantaneous growth rate. Round the final result to 4 decimal places if needed. Answer in individuals/year.
In dN/dt=rN(1−N/K), use r=0.03 per year, N=278, K=310. Find the instantaneous growth rate. Round the final result to 4 decimal places if needed. Answer in individuals/year.
Check your work
Answers and marking notes
- 34.1203 individuals/year
Substitute the current population, not K, into rN and multiply by (1−N/K).
- 0.8609 individuals/year
Substitute the current population, not K, into rN and multiply by (1−N/K).
Further reading and review references
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