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 148

Multiple Choice

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

• 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:

Combinations

A selection of items from a larger set where the order of selection does not matter.

Interaction Effect

An effect in statistical analysis indicating that the influence of one variable on the dependent variable differs across levels of another variable, demonstrating that the effect is not simply additive.

Parallel Lines

Straight lines in the same plane that do not intersect, regardless of how far they are extended.

Variables

Variables are characteristics or properties that can vary among individuals or over time within a study.