Question

A previous exercise modeled populations of aphids and ladybugs with a Lotka-Volterra system. Suppose we modify those equations as follows:

dA/dt=1A(1−0.00025A)−0.03AL

dL/dt=−0.7L+0.0004AL

**(a).** Find the equilibrium solutions.

Enter your answer as a list of ordered pairs (A,L) where A is the
number of aphids and L the number of ladybugs. For example, if you
found three equilibrium solutions, one with 100 aphids and 10
ladybugs, one with 200 aphids and 20 ladybugs, and one with 300
aphids and 30 ladybugs, you would enter (100,10),(200,20),(300,30).
Do not round fractional answers to the nearest integer.

Answer =

**(b).** Find an expression for dL/dA.

Answer #1

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