Comprehension

As a pait of his tescarch, Arun conducted a study on the number of locusts in a forest, He compiled his findings in the form of the following dala.


 

Question: 1

What type of growth curve is obtained for locusts based on the data? 
 

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Carrying capacity (K) is the ceiling of the population size.
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Solution and Explanation

Step 1: Understanding the Concept:
Populations grow rapidly and then stabilize.

Step 2: Detailed Explanation:
The population increases from 5 to 360 and then drops/stabilizes around 200, fitting the S-shaped model.

Step 3: Final Answer:
Logistic growth.
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Question: 2

Mathematical expression for Logistic Growth.

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If N<K, growth is positive; if N = K, growth is zero.
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Solution and Explanation

Step 1: Understanding the Concept:
Verhulst-Pearl Equation.

Step 2: Detailed Explanation:
Rate depends on intrinsic growth rate and carrying capacity.

Step 3: Final Answer:
\(dN/dt = rN(K-N/K)\).
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