We Modeled Populations of Aphids and Ladybugs with a Lotka-Volterra $$\frac { d A } { d t } = 2 A ( 1 - 0.0005 A ) - 0.01 A L$$

question 1

Multiple Choice

We modeled populations of aphids and ladybugs with a Lotka-Volterra system. Suppose we modify those equations as follows: $$\frac { d A } { d t } = 2 A ( 1 - 0.0005 A ) - 0.01 A L$$ , $\frac { d L } { d t } = - 0.6 L + 0.0005 A L$

• A) \(A = 3200 , L = 110\)
• B) \(A = 4700 , L = 90\)
• C) \(A = 3700 , L = 120\)
• D) \(A = 1200 , L = 80\)
• E) \(A = 1500 , L = 100\)

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Definitions:

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Influences or variables that have a direct and immediate impact on an outcome, as opposed to distal factors which exert effects indirectly or over a longer period.

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