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Read the following text and answer the following question on the basis of the same:
Growth of a population with time shows specific and predictable patterns. Two types of growth pattern of population are exponential and logistic growth. When resources in the habitat are unlimited each species has the ability to realize fully its innate potential to grow in number. Then the population grows in exponential fashion. When the resources are limited the growth curve shows an initial slow rate and then it accelerates and finally slows giving the growth curve which is sigmoid.
Q. The equations correctly represents Verhulst-Pearl logistic growth is:
  • a)
    dN/dt = rN(K-N)/K
  • b)
    dN/dt = rN/K
  • c)
    dN/dt = N(K-N)/K
  • d)
    dN/dt = r(K-N)/K
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Read the following text and answer the following question on the basi...
Understanding Logistic Growth
Logistic growth is a model that describes how a population grows in an environment with limited resources. The Verhulst-Pearl logistic growth equation is essential in understanding this concept.
Key Features of Logistic Growth:
- Initial Slow Growth: The population starts with a slow increase due to limited resources available for growth.
- Acceleration Phase: As resources become more available, the growth rate accelerates.
- Deceleration Phase: Eventually, the population growth slows down as it approaches the carrying capacity of the environment.
Equation Explanation:
The correct equation representing Verhulst-Pearl logistic growth is:
- dN/dt = rN(K-N)/K
Here’s a breakdown of the components:
- dN/dt: Rate of change of the population size over time.
- r: The intrinsic growth rate of the population.
- N: Current population size.
- K: Carrying capacity of the environment.
- (K-N): Represents the remaining resources available for growth; as N approaches K, (K-N) decreases, slowing down the growth rate.
Why Option A is Correct:
- Option A accurately incorporates both the intrinsic growth rate (r) and the effect of limited resources on the population growth, making it a comprehensive representation of logistic growth.
- Other options either misrepresent the relationship between population size and carrying capacity or fail to include the intrinsic growth rate effectively.
Conclusion:
Understanding the logistic growth model is crucial for predicting population dynamics in ecology, particularly in contexts where resources are limited. The Verhulst-Pearl equation provides a robust framework for these predictions.
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Read the following text and answer the following question on the basi...
S-shaped growth curve is also called Verhulst-Pearl logistic curve and is represented by the following equation.
where dt/dN = rate of change in population size, r = intrinsic rate of natural increase, N = population density, K= carrying
capacity and = environmental resistance.
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Read the following text and answer the following question on the basis of the same:Growth of a population with time shows specific and predictable patterns. Two types of growth pattern of population are exponential and logistic growth. When resources in the habitat are unlimited each species has the ability to realize fully its innate potential to grow in number. Then the population grows in exponential fashion. When the resources are limited the growth curve shows an initial slow rate and then it accelerates and finally slows giving the growth curve which is sigmoid.Q. The equations correctly represents Verhulst-Pearl logistic growth is:a)dN/dt = rN(K-N)/Kb)dN/dt = rN/Kc)dN/dt = N(K-N)/Kd)dN/dt = r(K-N)/KCorrect answer is option 'A'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Read the following text and answer the following question on the basis of the same:Growth of a population with time shows specific and predictable patterns. Two types of growth pattern of population are exponential and logistic growth. When resources in the habitat are unlimited each species has the ability to realize fully its innate potential to grow in number. Then the population grows in exponential fashion. When the resources are limited the growth curve shows an initial slow rate and then it accelerates and finally slows giving the growth curve which is sigmoid.Q. The equations correctly represents Verhulst-Pearl logistic growth is:a)dN/dt = rN(K-N)/Kb)dN/dt = rN/Kc)dN/dt = N(K-N)/Kd)dN/dt = r(K-N)/KCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Read the following text and answer the following question on the basis of the same:Growth of a population with time shows specific and predictable patterns. Two types of growth pattern of population are exponential and logistic growth. When resources in the habitat are unlimited each species has the ability to realize fully its innate potential to grow in number. Then the population grows in exponential fashion. When the resources are limited the growth curve shows an initial slow rate and then it accelerates and finally slows giving the growth curve which is sigmoid.Q. The equations correctly represents Verhulst-Pearl logistic growth is:a)dN/dt = rN(K-N)/Kb)dN/dt = rN/Kc)dN/dt = N(K-N)/Kd)dN/dt = r(K-N)/KCorrect answer is option 'A'. Can you explain this answer?.
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