Question: Solve this problem: 2.2 (16 points) Consider the following model for the pigeon and sparrow populations: P' = 15P - 2PS - P2 S' =

Solve this problem:

2.2 (16 points) Consider the following model for the pigeon and sparrow populations: P' = 15P - 2PS - P2 S' = 10S - PS - $2. Compute the change vectors at the points (2; 5), (5; 4), (10; 2) and (10; 3) and sketch them in a hand- drawn PS-state space (ie. with P as horizontal axis). No need to use SAGE math for plotting. Show your work

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