Consider another competitive-hunter model defined by where

Chapter 9, Problem 5E

(choose chapter or problem)

Problem 5E

Consider another competitive-hunter model defined by

where x and y represent trout and bass populations, respectively.

a. What assumptions are implicitly being made about the growth of trout and bass in the absence of competition?

b. Interpret the constants a, b, m, n, k1,and k2 in terms of the physical problem.

c. Perform a graphical analysis:

i) Find the possible equilibrium levels.

ii) Determine whether coexistence is possible.

iii) Pick several typical starting points and sketch typical trajectories in the phase plane.

iv) Interpret the outcomes predicted by your graphical analysis in terms of the constants a, b, m, n, k1,and k2

Note: When you get to part (iii), you should realize that five cases exist. You will need to analyze all five cases.