A Wooded Nature Preserve Supports Populations of Silver Foxes and Snowshoe

question 27

Multiple Choice

A wooded nature preserve supports populations of silver foxes and snowshoe hares.The growth rate for each population can be modeled by this pair of differential equations: $\begin{array} { l } \frac { d F } { d t } = - 0.24 F + 0.0012 F H \\\frac { d H } { d t } = 0.08 R - 0.005 F H\end{array}$ where H is the number of hares and F is the number of foxes.Find equilibrium populations for this model.(Hint: These are the populations for which $\frac { d F } { d t } = \frac { d H } { d t } = 0$ .)

• A)12 foxes,170 hares
• B)12 foxes,100 hares
• C)30 foxes,220 hares
• D)16 foxes,200 hares

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