1550078481-Ordinary_Differential_Equations__Roberts_

458 Ordinary Differential Equations

assigned to the vertical axis and that we wanted to display the graph on the
rectangle where 0 :::; x :::; 20 and 0 :::; y :::; 10. The resulting phase-plane graph

of y versus xis shown in Figure 10.16.

Figure 10.15 Graph of the Solution of a Volterra-Lotka Prey-Predator

System

x

Figure 10.16 Phase-Plane Plot of Predator Population

Versus Prey Population