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The logistic growth model considers carrying capacity, population density, and birth/death rates, but not mutation rate. This follows from NCERT principle where the relation explains the outcome clearly for students in simple steps.
Ref: NCERT Biology Textbook for Class XI and XII (Botany section), Chapter: Biology - Botany portion covering relevant concept.
If K - N equals zero, then N equals K. The density-dependent factor (K - N)/K in the logistic equation is therefore zero, and multiplying it by rN gives dN/dt = 0. Population size is at the model s carrying-capacity equilibrium, even though individuals continue to be born and die. Logistic predictions depend on assumptions that managers should not overlook. Carrying capacity changes with habitat and climate, and removing individuals may alter age structure, social organization, or genetic diversity. Thus an algebraic optimum is a benchmark, not a guarantee that a real harvested or conserved po
Ref: Ecology: Concepts and Applications, Molles, 9th Ed., Ch. 11
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