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The logistic growth model refines the exponential growth model by incorporating realistic factors affecting population dynamics. It introduces density-dependent negative feedback, where the growth rate (r) is maximal when population size (N) is low and approaches zero as N approaches the carrying capacity (K). This model accounts for competition and resource limitations, offering a comprehensive understanding of population behavior in natural ecosystems. Explore the significance of these adjustments and their implications for ecological balance and management.
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The logistic growth model: dN/dt = rN = [ … ]N = [ … ]N To make our exponential growth model more realistic, we need to … Want r = rmax at N near 0{ex: no competition} & r = 0 as N approaches K{ex: lots of competition} A simple way to model that is to let r= … Quiz 12: What is the realistic bit that the logistic model adds to the exponential model? Briefly, explain how this adds density-dependent negative feedback to population growth.