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Question

The population of a species of elk on Reading Island in Canada has been monitored for some years. When the population was $6(00$, the relative birth rate was $35 \%$ and the relative death rate was $15 \%$. As the population grew to $800 .$ the corresponding figures were $30 \%$ and $20 \%$. The island is isolated so there is no hunting or migration.

Find the equilibrium size of the population. Today there are $900$ elk on Reading Island. How do you expect the population to change in the future?

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2The equilibrium population level is obtained when $R(t)P=0$.

It can be done when $P=0$, or when

$\begin{aligned} 1000-P&=0\\ -P&=-1000\\ P&=1000 \end{aligned}$

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