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When does the growth rate of a population following the logistic model equal zero? The logistic model is given as dN/dt = rN(1-N/K):
- Option 1)
when N/K is exactly one.
- Option 2)
when N nears the carrying capacity of the habitat.
- Option 3)
when N/K equals zero.
- Option 4)
when death rate is greater than birth rate.
Answers (1)
As learnt
Logistic Growth -
No population of any species in nature has its disposal unlimited resources to permit exponential growth. This leads to competition between individuals for limited resources. Eventually, the 'fittest' individual will survive and reproduce.
- wherein
A given habitat has enough resources to support a maximum possible number, beyond which no further growth is possible.
AND
Equation for logistic growth -
A plot of N in relation to time (t) results in a sigmoid curve. This type of population growth is called Verhulst-Pearl Logistic Growth and is described by the following equation:
- wherein
Where,
N = Population density at time t
r = Intrinsic rate of natural increase
K = Carrying capacity
Option 1)
when N/K is exactly one.
This option is correct
Option 2)
when N nears the carrying capacity of the habitat.
This option is incorrect
Option 3)
when N/K equals zero.
This option is incorrect
Option 4)
when death rate is greater than birth rate.
This option is incorrect
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