Owls need trees to survive, but trees don't care one way or the other about owls. Which (if any) of the following systems of differential equations could model the interaction between owls and trees, with trees as x and owls as y? Select all that apply.
A) ,
B) ,
C) ,
D)None of these

Question

Owls need trees to survive, but trees don't care one way or the other about owls. Which (if any) of the following systems of differential equations could model the interaction between owls and trees, with trees as x and owls as y? Select all that apply.
A) , 
B) , 
C) , 
D)None of these

Quizplus · Accepted Answer

In this scenario, owls are dependent on trees for survival, but trees are not affected by the presence or absence of owls. Therefore, the interaction can be modeled using a system of differential equations where the rate of change of owls (y) is dependent on the rate of change of trees (x). Option B provides a possible system of equations where the rate of change of owls is proportional to the product of the number of owls and the number of trees, while the rate of change of trees is only dependent on a constant growth rate. Options A and C do not factor in the dependence of owls on trees, and therefore, do not accurately model the interaction. Option D is an incorrect option.

Owls Need Trees to Survive, but Trees Don't Care One