# This is an example from population biology (the predator-prey # equations of Lotka and Volterra). You may run it by doing: # # ode < population.ode | graph -T X -C # # or alternatively, to get a real-time plot, # # ode < population.ode | graph -T X -C -x 0 10 -y 0 3 # # The plot shows the population of the prey as a function of time. # The curve oscillates, because as the prey die out, the predators # starve. # The differential equations are: # x' = (A - By) x # y' = (Cx - D) y # A,B,C,D > 0 x' = (A - B*y) * x y' = (C*x - D) * y A = 1 B = 1 C = 1 D = 1 x = 3 y = 1 print t, x step 0, 10
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