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A particular bird species found in a certain region is subject to typical density-dependent (logistic) population...

A particular bird species found in a certain region is subject to typical density-dependent (logistic) population growth.  If the birth rate declines with increasing N according to the function birth rate b= -0.003N+3.4 and death rate increases with N according to the function d=.001N + 0.4.  What is the maximum rate of growth,  ‘rm’ for this population and find out the carrying capacity of this species, if the initial population size is 1800?

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Ans- Maximum Growth Rate is represented by small 'r' and it can be calculated by subtracting Death Rate from Birth Rate

Growth Rate (r) = b - d

Where birth rate is denoted by small b and death rate by small d.

Growth Rate = -0.003N+3.4 - 001N+0.4 = -0.004N+3.8

Ans b- Carrying capacity of species is 1800.

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