Mathematics · Differential Equations
Which of the following equations represents the standard logistic growth model for a population x?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1dx/dt = αx(1 - x/k), where α and k represent the growth rate and carrying capacity.✓
- 2dx/dt = -βx, where β is the decay rate.
- 3dx/dt = αx, where α is the intrinsic growth rate.
- 4dx/dt = αx - βx, where α and β represent growth and decay rates.
Correct answer
dx/dt = αx(1 - x/k), where α and k represent the growth rate and carrying capacity.
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