Graphics Programs Reference
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(f)
It makes sense to refer to the model (4) as “peaceful coexistence”, since
whatever initial populations you have — provided both are present —
you wind up withequal populations eventually. “Doomsday” is an
appropriate name for model (5), since if you start out withunequal
populations, then the smaller group becomes extinct. The lower
coefficient 0.5 means relatively small interaction between the species,
allowing for coexistence. The larger coefficient 2 means stronger
interaction and competition, precluding the survival of both.
Problem 12
Here is a SIMULINK model for redoing the pendulum application from
Chapter 9:
Withthe initial conditions
x
(0)
=
0
,
x
(0)
=
10, the XY Graph block shows the
following phase portrait:
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