species X preys on species Y. The sizes of the populations are represented by x x(t) and
Chapter 4, Problem 4.6.67(choose chapter or problem)
species X preys on species Y. The sizes of the populations are represented by x x(t) and y y(t). The growth rate of each population is governed by the system of differential equations x Ax b, where and b is a constant vector. Determine what happens to the two populations for the given A and b and initial conditions x(0). (First show that there are constants a and b such that the substitutions x u a and y v b convert the system into an equivalent one with no constant terms.)
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