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We Modeled Populations of Aphids and Ladybugs with a Lotka-Volterra dAdt=3A(10.0002A)0.01AL\frac { d A } { d t } = 3 A ( 1 - 0.0002 A ) - 0.01 A L

question 26

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We modeled populations of aphids and ladybugs with a Lotka-Volterra system. Suppose we modify those equations as follows:
dAdt=3A(10.0002A)0.01AL\frac { d A } { d t } = 3 A ( 1 - 0.0002 A ) - 0.01 A L
dLdt=0.4L+0.0002AL\frac { d L } { d t } = - 0.4 L + 0.0002 A L
Find the equilibrium solution.


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