Let's say we want to keep transforming it with matrix Ak times. Then we can generalize this to be:
This is useful because we get to know the behaviour of this equation when k→∞.
Discrete Dynamical Systems Overview:
Predator and Prey Model
Let the eagle and rabbit population at time k be denoted as , where k is the time in years, Ek is the number of eagles at time k, and Rk is the number of rabbits at time k (all measured in thousands). Suppose there are two equations describing the relationship between these two species:
Discrete dynamical systems
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