Question

This is a differential equations problem

2. Given the system of differential equations 0.2 0.005ry, --0.5y+0.01ry, which models the rates of changes of two interacting species populations, describe the type of z- and y-populations involved (exponential or logistic) and the nature of their interaction (competition, cooperation, or predation). Then find and characterize the system's critical points (type and stability). Determine what nonzero r- and y-populations can coexist. Ther construct a phase plane portrait that enables you to describe the long term behavior of the two populations. Use https://www.geogebra.org/m/uteMvuUy to confirm your results

Answer 1

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