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

Question

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

Quizplus · Accepted Answer

The Answer of 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

A Wooded Nature Preserve Supports Populations of Silver Foxes and Snowshoe