Consider another competitive-hunter model defined by dx/dt=a(1-x/k1)x-bxy dy/dt=

ID: 2987049 • Letter: C

Question

Consider another competitive-hunter model defined by

dx/dt=a(1-x/k1)x-bxy

dy/dt=m(1-y/k2)y-nxy

where x andy represent trout and bass populations, respeetively.

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 oftbe 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 pbase plane.

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

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

I'm stuck ar (ii),(ii) and (iv). Can anyone help?