Determine the evolution of the dynamical system in Example 1 when the predation parameter p is .125. (Give a formula for xk.) As time passes, what happens to the sizes of the owl and wood rat populations? The system tends toward what is sometimes called an unstable equilibrium. What do you think might happen to the system if some aspect of the model (such as birth rates or the predation rate) were to change slightly?
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LINEAR ALGEBRA AND ITS APPLICATION -TEX
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