9.6 Differential Equations
Predator & Prey Systems
Question #2 (Medium): Interpreting the Population Phase Trajectory
Direction field can be drawn based on the differential equation, and several solution curves can be
sketched base on the direction field. This direction field is based on two variables on the horizontal and
vertical axis. The direction field shows what happens to the relationship between these two variables as
the parameter , meaning time passes. As the time is traced out along the curve, interpretation of the
solution curve means picking the right numeric coordinate values for and and interpreting their
relationship based on the context the question is given.
A phase trajectory is given for the population of horse and lion.
1) Describe how each population changes as time goes by.