Zaymiey

🔬 Biology  ·  Organisms and Populations  ·  NEET

A population growing under the logistic model grows fastest (maximum rate of increase) when its size N is approximately:

Answer: Half of K.

  • A Half of K
  • B Equal to K
  • C Near zero
  • D Greater than K

Correct answer: A. Half of K

Explanation: In logistic growth dN/dt = rN(K-N)/K, the growth rate peaks at intermediate density, around N = K/2.

Exponential (J-curve) vs Logistic (S-curve) GrowthtimePopulation (N)Exponential (unlimited resources)K (carrying capacity)Logistic (limited resources)Logistic growth slows as N approaches K; exponential growth never slows down

Exponential growth produces an ever-steepening J-curve with no limit, an unrealistic long-term model; logistic growth produces an S-curve that levels off at the carrying capacity K, as growth rate (K−N)/K shrinks to zero once resources are fully used.

Concept context

How organisms interact with abiotic factors and respond to stress, plus population attributes, growth models, and interspecific interactions such as predation, competition, and mutualism.

Read the full Organisms and Populations notes →