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We Modeled Populations of Aphids and Ladybugs with a Lotka-Volterra dAdt=5A(10.0003A)0.03AL\frac { d A } { d t } = 5 A ( 1 - 0.0003 A ) - 0.03 A L

Question 97

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We modeled populations of aphids and ladybugs with a Lotka-Volterra system. Suppose we modify those equations as follows:
dAdt=5A(10.0003A)0.03AL\frac { d A } { d t } = 5 A ( 1 - 0.0003 A ) - 0.03 A L
dLdt=0.6L+0.0003AL\frac { d L } { d t } = - 0.6 L + 0.0003 A L
Find the equilibrium solution.

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