Which one is correct for the logistic model o | vedclass

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(B) The correct answer is $(b)$.Logistic growth model describes population growth in a habitat with limited resources. As the population size $(N)$ in

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Only $IV$

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(B) The correct answer is $(b)$.Logistic growth model describes population growth in a habitat with limited resources. As the population size $(N)$ increases,the available resources per individual decrease,leading to increased competition for survival and reproduction. This is represented by the term $\left(\frac{K-N}{K}\right)$ in the logistic equation: $\frac{dN}{dt} = rN \left(\frac{K-N}{K}\right)$.Analysis of the statements:$I.$ Incorrect. As the population approaches the carrying capacity $(K)$,the growth rate decreases because the environment cannot support more individuals.$II.$ Incorrect. Individuals may have different effects based on age,health,or reproductive status.$III.$ Incorrect. Logistic growth specifically assumes limited natural resources.$IV.$ Correct. As population density increases,competition for limited resources increases,which slows down the growth rate.Therefore,only statement $IV$ is correct.

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